malachite-nz 0.3.2

The bignum types Natural and Integer, with efficient algorithms partially derived from GMP and FLINT
Documentation 
use malachite_base::num::arithmetic::traits::{DivMod, Square};
use malachite_base::num::basic::integers::PrimitiveInt;
use malachite_base::num::basic::traits::{One, Zero};
use malachite_base::num::conversion::traits::ExactFrom;
use malachite_base::test_util::common::rle_decode;
use malachite_base::test_util::generators::common::GenConfig;
use malachite_base::test_util::generators::{
    large_type_gen_var_1, unsigned_pair_gen_var_27, unsigned_vec_gen_var_6,
    unsigned_vec_pair_gen_var_1, unsigned_vec_pair_gen_var_2, unsigned_vec_triple_gen_var_1,
    unsigned_vec_triple_gen_var_2, unsigned_vec_triple_gen_var_24, unsigned_vec_triple_gen_var_25,
    unsigned_vec_triple_gen_var_3, unsigned_vec_unsigned_pair_gen,
    unsigned_vec_unsigned_unsigned_triple_gen, unsigned_vec_unsigned_vec_unsigned_triple_gen_var_1,
};
use malachite_base::vecs::vec_from_str;
use malachite_nz::natural::arithmetic::mul::fft::{
    limbs_mul_greater_to_out_fft, limbs_mul_greater_to_out_fft_scratch_len,
    limbs_mul_greater_to_out_fft_with_cutoff, limbs_mul_greater_to_out_fft_with_cutoff_scratch_len,
    limbs_square_to_out_fft, limbs_square_to_out_fft_scratch_len,
    limbs_square_to_out_fft_with_cutoff, limbs_square_to_out_fft_with_cutoff_scratch_len,
};
use malachite_nz::natural::arithmetic::mul::limb::{
    limbs_mul_limb, limbs_mul_limb_to_out, limbs_mul_limb_with_carry_to_out,
    limbs_slice_mul_limb_in_place, limbs_slice_mul_limb_with_carry_in_place,
    limbs_vec_mul_limb_in_place,
};
use malachite_nz::natural::arithmetic::mul::mul_low::{
    limbs_mul_low_same_length, limbs_mul_low_same_length_basecase,
    limbs_mul_low_same_length_basecase_alt, limbs_mul_low_same_length_divide_and_conquer,
    limbs_mul_low_same_length_divide_and_conquer_shared_scratch,
};
#[cfg(not(feature = "32_bit_limbs"))]
use malachite_nz::natural::arithmetic::mul::mul_mod::limbs_mul_mod_base_pow_n_minus_1;
use malachite_nz::natural::arithmetic::mul::product_of_limbs::limbs_product;
use malachite_nz::natural::arithmetic::mul::toom::{
    limbs_mul_greater_to_out_toom_22, limbs_mul_greater_to_out_toom_22_scratch_len,
    limbs_mul_greater_to_out_toom_32, limbs_mul_greater_to_out_toom_32_scratch_len,
    limbs_mul_greater_to_out_toom_33, limbs_mul_greater_to_out_toom_33_scratch_len,
    limbs_mul_greater_to_out_toom_42, limbs_mul_greater_to_out_toom_42_scratch_len,
    limbs_mul_greater_to_out_toom_43, limbs_mul_greater_to_out_toom_43_scratch_len,
    limbs_mul_greater_to_out_toom_44, limbs_mul_greater_to_out_toom_44_scratch_len,
    limbs_mul_greater_to_out_toom_52, limbs_mul_greater_to_out_toom_52_scratch_len,
    limbs_mul_greater_to_out_toom_53, limbs_mul_greater_to_out_toom_53_scratch_len,
    limbs_mul_greater_to_out_toom_54, limbs_mul_greater_to_out_toom_54_scratch_len,
    limbs_mul_greater_to_out_toom_62, limbs_mul_greater_to_out_toom_62_scratch_len,
    limbs_mul_greater_to_out_toom_63, limbs_mul_greater_to_out_toom_63_scratch_len,
    limbs_mul_greater_to_out_toom_6h, limbs_mul_greater_to_out_toom_6h_scratch_len,
    limbs_mul_greater_to_out_toom_8h, limbs_mul_greater_to_out_toom_8h_scratch_len,
};
use malachite_nz::natural::arithmetic::mul::{
    limbs_mul, limbs_mul_greater, limbs_mul_greater_to_out, limbs_mul_greater_to_out_basecase,
    limbs_mul_greater_to_out_scratch_len, limbs_mul_same_length_to_out,
    limbs_mul_same_length_to_out_scratch_len, limbs_mul_to_out, limbs_mul_to_out_scratch_len,
};
use malachite_nz::natural::Natural;
use malachite_nz::platform::{DoubleLimb, Limb};
use malachite_nz::test_util::generators::{
    natural_gen, natural_pair_gen, natural_triple_gen, natural_vec_gen,
    unsigned_vec_pair_gen_var_33, unsigned_vec_triple_gen_var_10, unsigned_vec_triple_gen_var_11,
    unsigned_vec_triple_gen_var_12, unsigned_vec_triple_gen_var_13, unsigned_vec_triple_gen_var_14,
    unsigned_vec_triple_gen_var_15, unsigned_vec_triple_gen_var_16, unsigned_vec_triple_gen_var_4,
    unsigned_vec_triple_gen_var_5, unsigned_vec_triple_gen_var_6, unsigned_vec_triple_gen_var_60,
    unsigned_vec_triple_gen_var_7, unsigned_vec_triple_gen_var_8, unsigned_vec_triple_gen_var_9,
};
use malachite_nz::test_util::natural::arithmetic::mul::natural_product_naive;
use malachite_nz::test_util::natural::arithmetic::mul::{
    limbs_mul_greater_to_out_basecase_mem_opt, limbs_product_naive,
};
use num::BigUint;
use rug;
use std::iter::{once, Product};
use std::str::FromStr;

fn series(start: Limb, len: usize) -> Vec<Limb> {
    (start..start + Limb::exact_from(len)).collect()
}

#[cfg(feature = "32_bit_limbs")]
#[test]
fn test_limbs_mul_limb_and_limbs_vec_mul_limb_in_place() {
    let test = |limbs: &[Limb], limb: Limb, out: &[Limb]| {
        assert_eq!(limbs_mul_limb(limbs, limb), out);

        let mut limbs = limbs.to_vec();
        limbs_vec_mul_limb_in_place(&mut limbs, limb);
        assert_eq!(limbs, out);
    };
    test(&[], 0, &[]);
    test(&[], 5, &[]);
    test(&[6, 7], 2, &[12, 14]);
    test(&[100, 101, 102], 10, &[1000, 1010, 1020]);
    test(&[123, 456], 789, &[97047, 359784]);
    test(&[u32::MAX, 5], 2, &[u32::MAX - 1, 11]);
    test(&[u32::MAX], 2, &[u32::MAX - 1, 1]);
    test(&[u32::MAX], u32::MAX, &[1, u32::MAX - 1]);
}

#[test]
fn test_product() {
    let test = |xs, out| {
        let xs = vec_from_str(xs).unwrap();
        let product = Natural::product(xs.iter().cloned());
        assert!(product.is_valid());
        assert_eq!(product.to_string(), out);

        let product_alt = Natural::product(xs.iter());
        assert!(product_alt.is_valid());
        assert_eq!(product_alt, product);

        let product_alt = natural_product_naive(xs.into_iter());
        assert!(product_alt.is_valid());
        assert_eq!(product_alt, product);
    };
    test("[]", "1");
    test("[10]", "10");
    test("[6, 2]", "12");
    test("[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10]", "0");
    test("[1, 2, 3, 4, 5, 6, 7, 8, 9, 10]", "3628800");
    test(
        "[123456, 789012, 345678, 9012345]",
        "303462729062737285547520",
    );
}

#[test]
fn limbs_mul_limb_properties() {
    let mut config = GenConfig::new();
    config.insert("mean_length_n", 32);
    config.insert("mean_stripe_n", 16 << Limb::LOG_WIDTH);
    unsigned_vec_unsigned_pair_gen().test_properties_with_config(&config, |(xs, y)| {
        assert_eq!(
            Natural::from_owned_limbs_asc(limbs_mul_limb(&xs, y)),
            Natural::from_limbs_asc(&xs) * Natural::from(y)
        );
    });
}

#[test]
fn limbs_vec_mul_limb_in_place_properties() {
    let mut config = GenConfig::new();
    config.insert("mean_length_n", 32);
    config.insert("mean_stripe_n", 16 << Limb::LOG_WIDTH);
    unsigned_vec_unsigned_pair_gen().test_properties_with_config(&config, |(mut xs, y)| {
        let old_xs = xs.clone();
        limbs_vec_mul_limb_in_place(&mut xs, y);
        let n = Natural::from_limbs_asc(&old_xs) * Natural::from(y);
        assert_eq!(Natural::from_owned_limbs_asc(xs), n);
    });
}

#[cfg(feature = "32_bit_limbs")]
#[test]
fn test_limbs_mul_limb_with_carry_to_out() {
    let test = |out_before: &[Limb],
                xs: &[Limb],
                y: Limb,
                carry: Limb,
                carry_out: Limb,
                out_after: &[Limb]| {
        let mut out = out_before.to_vec();
        assert_eq!(
            limbs_mul_limb_with_carry_to_out(&mut out, xs, y, carry),
            carry_out
        );
        assert_eq!(out, out_after);
    };
    test(
        &[10, 10, 10, 10],
        &[123, 456],
        789,
        10,
        0,
        &[97057, 359784, 10, 10],
    );
    test(&[10, 10, 10, 10], &[u32::MAX], 2, 3, 2, &[1, 10, 10, 10]);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_limb_with_carry_to_out_fail() {
    limbs_mul_limb_with_carry_to_out(&mut [10], &[10, 10], 10, 2);
}

#[test]
fn limbs_mul_limb_with_carry_to_out_properties() {
    let mut config = GenConfig::new();
    config.insert("mean_length_n", 32);
    config.insert("mean_stripe_n", 16 << Limb::LOG_WIDTH);
    large_type_gen_var_1().test_properties_with_config(&config, |(mut out, xs, y, carry)| {
        let old_out = out.clone();
        let carry_out = limbs_mul_limb_with_carry_to_out(&mut out, &xs, y, carry);
        let len = xs.len();
        let n = Natural::from_owned_limbs_asc(xs) * Natural::from(y) + Natural::from(carry);
        let mut xs_out = n.into_limbs_asc();
        assert_eq!(carry_out != 0, xs_out.len() == len + 1);
        if carry_out != 0 {
            assert_eq!(*xs_out.last().unwrap(), carry_out);
        }
        xs_out.resize(len, 0);
        assert_eq!(xs_out, &out[..len]);
        assert_eq!(&out[len..], &old_out[len..]);
    });
}

#[cfg(feature = "32_bit_limbs")]
#[test]
fn test_limbs_mul_limb_to_out() {
    let test = |out_before: &[Limb], xs: &[Limb], y: Limb, carry: Limb, out_after: &[Limb]| {
        let mut out = out_before.to_vec();
        assert_eq!(limbs_mul_limb_to_out(&mut out, xs, y), carry);
        assert_eq!(out, out_after);
    };
    test(&[10, 10, 10, 10], &[], 0, 0, &[10, 10, 10, 10]);
    test(&[10, 10, 10, 10], &[], 5, 0, &[10, 10, 10, 10]);
    test(&[10, 10, 10, 10], &[6, 7], 2, 0, &[12, 14, 10, 10]);
    test(
        &[10, 10, 10, 10],
        &[100, 101, 102],
        10,
        0,
        &[1000, 1010, 1020, 10],
    );
    test(
        &[10, 10, 10, 10],
        &[123, 456],
        789,
        0,
        &[97047, 359784, 10, 10],
    );
    test(
        &[10, 10, 10, 10],
        &[u32::MAX, 5],
        2,
        0,
        &[u32::MAX - 1, 11, 10, 10],
    );
    test(
        &[10, 10, 10, 10],
        &[u32::MAX],
        2,
        1,
        &[u32::MAX - 1, 10, 10, 10],
    );
    test(
        &[10, 10, 10, 10],
        &[u32::MAX],
        u32::MAX,
        u32::MAX - 1,
        &[1, 10, 10, 10],
    );
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_limb_to_out_fail() {
    limbs_mul_limb_to_out(&mut [10], &[10, 10], 10);
}

#[test]
fn limbs_mul_limb_to_out_properties() {
    let mut config = GenConfig::new();
    config.insert("mean_length_n", 32);
    config.insert("mean_stripe_n", 16 << Limb::LOG_WIDTH);
    unsigned_vec_unsigned_vec_unsigned_triple_gen_var_1().test_properties_with_config(
        &config,
        |(mut out, xs, y)| {
            let old_out = out.clone();
            let carry = limbs_mul_limb_to_out(&mut out, &xs, y);
            let len = xs.len();
            let n = Natural::from_owned_limbs_asc(xs) * Natural::from(y);
            let mut limbs = n.into_limbs_asc();
            assert_eq!(carry != 0, limbs.len() == len + 1);
            if carry != 0 {
                assert_eq!(*limbs.last().unwrap(), carry);
            }
            limbs.resize(len, 0);
            assert_eq!(limbs, &out[..len]);
            assert_eq!(&out[len..], &old_out[len..]);
        },
    );
}

#[cfg(feature = "32_bit_limbs")]
#[test]
fn test_limbs_mul_limb_with_carry_in_place() {
    let test = |xs_before: &[Limb], y: Limb, carry: Limb, carry_out: Limb, xs_after: &[Limb]| {
        let mut xs = xs_before.to_vec();
        assert_eq!(
            limbs_slice_mul_limb_with_carry_in_place(&mut xs, y, carry),
            carry_out
        );
        assert_eq!(xs, xs_after);
    };
    test(&[123, 456], 789, 10, 0, &[97057, 359784]);
    test(&[u32::MAX], 2, 3, 2, &[1]);
}

#[test]
fn limbs_slice_mul_limb_with_carry_in_place_properties() {
    let mut config = GenConfig::new();
    config.insert("mean_length_n", 32);
    config.insert("mean_stripe_n", 16 << Limb::LOG_WIDTH);
    unsigned_vec_unsigned_unsigned_triple_gen().test_properties_with_config(
        &config,
        |(mut xs, y, carry)| {
            let n = Natural::from_limbs_asc(&xs) * Natural::from(y) + Natural::from(carry);
            let carry_out = limbs_slice_mul_limb_with_carry_in_place(&mut xs, y, carry);
            let mut expected_limbs = n.into_limbs_asc();
            assert_eq!(carry_out != 0, expected_limbs.len() == xs.len() + 1);
            if carry_out != 0 {
                assert_eq!(*expected_limbs.last().unwrap(), carry_out);
            }
            expected_limbs.resize(xs.len(), 0);
            assert_eq!(xs, expected_limbs);
        },
    );
}

#[cfg(feature = "32_bit_limbs")]
#[test]
fn test_limbs_slice_mul_limb_in_place() {
    let test = |xs: &[Limb], y: Limb, carry: Limb, out: &[Limb]| {
        let mut xs = xs.to_vec();
        assert_eq!(limbs_slice_mul_limb_in_place(&mut xs, y), carry);
        assert_eq!(xs, out);
    };
    test(&[], 0, 0, &[]);
    test(&[], 5, 0, &[]);
    test(&[6, 7], 2, 0, &[12, 14]);
    test(&[100, 101, 102], 10, 0, &[1000, 1010, 1020]);
    test(&[123, 456], 789, 0, &[97047, 359784]);
    test(&[u32::MAX, 5], 2, 0, &[u32::MAX - 1, 11]);
    test(&[u32::MAX], 2, 1, &[u32::MAX - 1]);
    test(&[u32::MAX], u32::MAX, u32::MAX - 1, &[1]);
}

#[test]
fn limbs_slice_mul_limb_in_place_properties() {
    let mut config = GenConfig::new();
    config.insert("mean_length_n", 32);
    config.insert("mean_stripe_n", 16 << Limb::LOG_WIDTH);
    unsigned_vec_unsigned_pair_gen().test_properties_with_config(&config, |(mut xs, y)| {
        let old_xs = xs.clone();
        let carry = limbs_slice_mul_limb_in_place(&mut xs, y);
        let n = Natural::from_limbs_asc(&old_xs) * Natural::from(y);
        let mut expected_limbs = n.into_limbs_asc();
        assert_eq!(carry != 0, expected_limbs.len() == xs.len() + 1);
        if carry != 0 {
            assert_eq!(*expected_limbs.last().unwrap(), carry);
        }
        expected_limbs.resize(xs.len(), 0);
        assert_eq!(xs, expected_limbs);
    });
}

#[cfg(feature = "32_bit_limbs")]
#[test]
fn test_limbs_mul_greater() {
    let test = |xs: Vec<Limb>, ys: Vec<Limb>, result: Vec<Limb>| {
        assert_eq!(limbs_mul_greater(&xs, &ys), result);
    };
    test(vec![2], vec![3], vec![6, 0]);
    test(vec![1; 3], series(1, 3), vec![1, 3, 6, 5, 3, 0]);
    test(series(1, 3), vec![6, 7], vec![6, 19, 32, 21, 0]);
    test(
        vec![100, 101, 102],
        vec![102, 101, 100],
        vec![10200, 20402, 30605, 20402, 10200, 0],
    );
    test(vec![u32::MAX], vec![1], vec![u32::MAX, 0]);
    test(vec![u32::MAX], vec![u32::MAX], vec![1, u32::MAX - 1]);
    test(
        vec![u32::MAX; 3],
        vec![u32::MAX; 3],
        vec![1, 0, 0, u32::MAX - 1, u32::MAX, u32::MAX],
    );
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn test_limbs_mul_greater_fail_1() {
    limbs_mul_greater(&[6, 7], &[1, 2, 3]);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn test_limbs_mul_greater_fail_2() {
    limbs_mul_greater(&[6, 7], &[]);
}

fn limbs_mul_helper(f: &dyn Fn(&[Limb], &[Limb]) -> Vec<Limb>, xs: Vec<Limb>, ys: Vec<Limb>) {
    let result = f(&xs, &ys);
    assert_eq!(result.len(), xs.len() + ys.len());
    assert_eq!(
        Natural::from_owned_limbs_asc(result),
        Natural::from_owned_limbs_asc(xs) * Natural::from_owned_limbs_asc(ys)
    );
}

#[test]
fn limbs_mul_greater_properties() {
    let mut config = GenConfig::new();
    config.insert("mean_length_n", 32);
    config.insert("mean_stripe_n", 16 << Limb::LOG_WIDTH);
    unsigned_vec_pair_gen_var_1().test_properties_with_config(&config, |(xs, ys)| {
        limbs_mul_helper(&limbs_mul_greater, xs, ys);
    });
}

#[cfg(feature = "32_bit_limbs")]
#[test]
fn test_limbs_mul() {
    let test = |xs: Vec<Limb>, ys: Vec<Limb>, result: Vec<Limb>| {
        assert_eq!(limbs_mul(&xs, &ys), result);
    };
    test(vec![2], vec![3], vec![6, 0]);
    test(vec![1; 3], series(1, 3), vec![1, 3, 6, 5, 3, 0]);
    test(series(1, 3), vec![6, 7], vec![6, 19, 32, 21, 0]);
    test(vec![6, 7], series(1, 3), vec![6, 19, 32, 21, 0]);
    test(
        vec![100, 101, 102],
        vec![102, 101, 100],
        vec![10200, 20402, 30605, 20402, 10200, 0],
    );
    test(vec![u32::MAX], vec![1], vec![u32::MAX, 0]);
    test(vec![u32::MAX], vec![u32::MAX], vec![1, u32::MAX - 1]);
    test(
        vec![u32::MAX; 3],
        vec![u32::MAX; 3],
        vec![1, 0, 0, u32::MAX - 1, u32::MAX, u32::MAX],
    );
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn test_limbs_mul_fail() {
    limbs_mul(&[6, 7], &[]);
}

#[test]
fn limbs_mul_properties() {
    let mut config = GenConfig::new();
    config.insert("mean_length_n", 32);
    config.insert("mean_stripe_n", 16 << Limb::LOG_WIDTH);
    unsigned_vec_pair_gen_var_2().test_properties_with_config(&config, |(xs, ys)| {
        limbs_mul_helper(&limbs_mul, xs, ys);
    });
}

#[cfg(feature = "32_bit_limbs")]
#[test]
fn test_limbs_mul_same_length_to_out() {
    let test = |xs: Vec<Limb>, ys: Vec<Limb>, out_before: Vec<Limb>, out_after| {
        let mut out = out_before;
        let mut mul_scratch = vec![0; limbs_mul_same_length_to_out_scratch_len(xs.len())];
        limbs_mul_same_length_to_out(&mut out, &xs, &ys, &mut mul_scratch);
        assert_eq!(out, out_after);
    };
    test(vec![2], vec![3], vec![10; 3], vec![6, 0, 10]);
    test(
        vec![1; 3],
        series(1, 3),
        vec![5; 8],
        vec![1, 3, 6, 5, 3, 0, 5, 5],
    );
    test(
        vec![100, 101, 102],
        vec![102, 101, 100],
        vec![10; 7],
        vec![10200, 20402, 30605, 20402, 10200, 0, 10],
    );
    test(vec![u32::MAX], vec![1], vec![10; 3], vec![u32::MAX, 0, 10]);
    test(
        vec![u32::MAX],
        vec![u32::MAX],
        vec![10; 4],
        vec![1, u32::MAX - 1, 10, 10],
    );
    test(
        vec![u32::MAX; 3],
        vec![u32::MAX; 3],
        vec![10; 6],
        vec![1, 0, 0, u32::MAX - 1, u32::MAX, u32::MAX],
    );
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_same_length_to_out_fail_1() {
    let mut out = vec![10, 10, 10, 10, 10];
    let mut mul_scratch = vec![0; limbs_mul_same_length_to_out_scratch_len(3)];
    limbs_mul_same_length_to_out(&mut out, &[6, 7], &[1, 2, 3], &mut mul_scratch);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_same_length_to_out_fail_2() {
    let mut out = vec![10, 10, 10];
    let mut mul_scratch = vec![0; limbs_mul_same_length_to_out_scratch_len(2)];
    limbs_mul_same_length_to_out(&mut out, &[6, 7], &[1, 2], &mut mul_scratch);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_same_length_to_out_fail_3() {
    let mut out = vec![10];
    let mut mul_scratch = vec![0; limbs_mul_same_length_to_out_scratch_len(1)];
    limbs_mul_same_length_to_out(&mut out, &[], &[], &mut mul_scratch);
}

#[test]
fn limbs_mul_same_length_to_out_properties() {
    let mut config = GenConfig::new();
    config.insert("mean_length_n", 32);
    config.insert("mean_stripe_n", 16 << Limb::LOG_WIDTH);
    unsigned_vec_triple_gen_var_1().test_properties_with_config(&config, |(mut out, xs, ys)| {
        let old_out = out.clone();
        let mut mul_scratch = vec![0; limbs_mul_same_length_to_out_scratch_len(xs.len())];
        limbs_mul_same_length_to_out(&mut out, &xs, &ys, &mut mul_scratch);
        let len = xs.len() << 1;
        let n = Natural::from_owned_limbs_asc(xs) * Natural::from_owned_limbs_asc(ys);
        let mut expected_out = n.into_limbs_asc();
        expected_out.resize(len, 0);
        assert_eq!(expected_out, &out[..len]);
        assert_eq!(&out[len..], &old_out[len..]);
    });
}

#[cfg(feature = "32_bit_limbs")]
#[test]
fn test_limbs_mul_greater_to_out() {
    let test =
        |xs: Vec<Limb>, ys: Vec<Limb>, out_before: Vec<Limb>, highest_result_limb, out_after| {
            let mut out = out_before.clone();
            limbs_mul_greater_to_out_basecase(&mut out, &xs, &ys);
            assert_eq!(out, out_after);
            let mut out = out_before;
            let mut mul_scratch = vec![0; limbs_mul_greater_to_out_scratch_len(xs.len(), ys.len())];
            assert_eq!(
                limbs_mul_greater_to_out(&mut out, &xs, &ys, &mut mul_scratch),
                highest_result_limb
            );
            assert_eq!(out, out_after);
        };
    test(vec![2], vec![3], vec![10; 3], 0, vec![6, 0, 10]);
    test(
        vec![1; 3],
        series(1, 3),
        vec![5; 8],
        0,
        vec![1, 3, 6, 5, 3, 0, 5, 5],
    );
    test(
        series(1, 3),
        vec![6, 7],
        vec![0; 5],
        0,
        vec![6, 19, 32, 21, 0],
    );
    test(
        vec![100, 101, 102],
        vec![102, 101, 100],
        vec![10; 7],
        0,
        vec![10200, 20402, 30605, 20402, 10200, 0, 10],
    );
    test(
        vec![u32::MAX],
        vec![1],
        vec![10; 3],
        0,
        vec![u32::MAX, 0, 10],
    );
    test(
        vec![u32::MAX],
        vec![u32::MAX],
        vec![10; 4],
        u32::MAX - 1,
        vec![1, u32::MAX - 1, 10, 10],
    );
    test(
        vec![u32::MAX; 3],
        vec![u32::MAX; 3],
        vec![10; 6],
        u32::MAX,
        vec![1, 0, 0, u32::MAX - 1, u32::MAX, u32::MAX],
    );
}

#[cfg(not(feature = "32_bit_limbs"))]
#[test]
fn test_limbs_mul_greater_to_out() {
    let test = |xs: Vec<Limb>,
                ys: Vec<Limb>,
                out_before: Vec<Limb>,
                highest_result_limb,
                out_after: Vec<Limb>| {
        let mut out = out_before.clone();
        limbs_mul_greater_to_out_basecase(&mut out, &xs, &ys);
        assert_eq!(out, out_after);
        let mut out = out_before;
        let mut mul_scratch = vec![0; limbs_mul_greater_to_out_scratch_len(xs.len(), ys.len())];
        assert_eq!(
            limbs_mul_greater_to_out(&mut out, &xs, &ys, &mut mul_scratch),
            highest_result_limb
        );
        assert_eq!(out, out_after);
    };
    test(
        vec![
            12709525342598979476,
            11509224300783138838,
            393964466388471327,
            14232928317295888119,
            13732076968605655238,
            15707747516397285107,
            8732499155930007762,
            9865419549041312495,
            1072105962419307309,
            17879862180104468293,
            17068561868445402638,
            1866096115219256579,
            6855809432664356654,
            1393588600207482081,
            3815615263372249309,
            4991042746319579278,
            15465001638246553057,
            16087255091514657862,
            5044736888141764583,
            2779747905405388451,
            583627419881315049,
            4335440233116895431,
            9498366494409866085,
            8645413868323766569,
            10728932435460960803,
            2150088858744686298,
            9562258835198494013,
            17827191588813955307,
            13784645620229731318,
            6296382068077415813,
            11689157886369173742,
            17754283123435968230,
            1461090916898201642,
            1288610558427232175,
            8104103888086828127,
            8032176301470720968,
            12200951204181999648,
            9485404571555436368,
            10222400990562648891,
            7599079551870785840,
            11203522977648266038,
            18338050175108207759,
            12077517359207243953,
            1611826255828631363,
            15837930674386751191,
            461582836356148934,
            16860704548252932358,
            6041830073720446893,
            16833467135075592988,
            17496069201595551026,
            10318992522772404757,
            13524041658187206186,
            4506190253313254923,
            17231310439197044711,
            13546843641632582646,
            7651927160556964586,
            9190936365032409113,
            9913829309881494193,
            12083378901909297431,
            287809474670991447,
            7728504523588277111,
            16741959317437359789,
            9529628049862654500,
            13419553383911388725,
            13376506161484177119,
            8176094358898406545,
            13190641351956097350,
            12568817836646213483,
            3486855157615498387,
            14702408831781542831,
            98979558380456360,
            13178740567667926424,
            17968226918253726036,
            9245411514261104062,
            2907160002341084957,
            1980943369383764848,
            6564658997896463013,
            13002525217264158147,
            444335199954317567,
            16863109666887451301,
            11108312108618761726,
            7630498129836691848,
            5435171385264263429,
            10900954800466810672,
            16615568172072435554,
            4587778094537619469,
            10961411668824294491,
            17076006711925106918,
            5351453460500307468,
            7629258051101663482,
            16987233075558685907,
            7043270533100406405,
            1951394976862135309,
            13689790855612457174,
            2278410054587042806,
            17001418508549255568,
            11660613606297735566,
            2855471124776808043,
            10065175989746288214,
            5055380914672426055,
            14126789454240780537,
            12269074817478677711,
            15318371572624008687,
            17454608042943339898,
            266175370449515926,
            10258065246409153340,
            7913204199005555677,
            2015162987422567864,
            947599677954716876,
            4742046749175767719,
            4638837750457895566,
            7651567606901939182,
            1517253577417508168,
            10046266355925262869,
            17517100300192594127,
            1840911236085514585,
            17925925769498956584,
            649534223875437606,
            4629497761671206138,
            6940070820665949971,
            11499097596331562367,
            6066662975772729994,
            14012285030054181,
            15069455665359536649,
            15693110947967738351,
            6137496527357766025,
            17475548660925055392,
            7927767715587303464,
            8531250928287116369,
            11631019584025111086,
            14052618820385867457,
            3118784937861555333,
            183376537996253187,
            5402208906954882112,
            4415682544496910978,
            4679985880085587510,
            8446593383458511654,
            15604884470214334395,
            1138627504082666786,
            10518517338133402469,
            4864527599992532396,
            13936709675277621349,
            564858321719103528,
            17954444276502582707,
            7973580172007214272,
            5448002835725952206,
            17643582902922581336,
            6555152033284063414,
            10046934352485272915,
            13709275446788968044,
            3781650587286942277,
            856963687705102140,
            14231130335064067998,
            12012182879109532509,
            14408852620208381144,
            18399276894609882283,
            8786560043544514971,
            9040897797784271497,
            3289492106827693022,
            2537349882995177,
            9547621122715901978,
            18031028021813298205,
            13759002194232082515,
            8230796682226694274,
            16497307259652601605,
            4532459299949788115,
            9096244343722808065,
            15835940740299471650,
            16962714874349511272,
            12751247365216834654,
            5665483802634541323,
            5932524403187765899,
            9724384992325030819,
            4567260165559481416,
            12988617208150638305,
            3810267272444218110,
            12215376695703433417,
            15917770368925117452,
            10076439022504697381,
            15419145301042845244,
            12520526582226591499,
            10731090420480517823,
            7095369748974936538,
            7265727720840614264,
            14328612713128953576,
            9796482770007505116,
            12823579117053411854,
            5055821064893108365,
            12630218511428402185,
            5189066330700437332,
            5109762584664698804,
            10723647767885063411,
            15665488082047274789,
            4569259999401990745,
            3735809282876517401,
            7285645596632892122,
            10962161595160119179,
            4816357354602339409,
            10873333778222769846,
            8013894684430460951,
            1877066355845544058,
            9184544411342906577,
            1919785302854216344,
            11743122258369849152,
            3429022440866576828,
            7006536176872515230,
            12354403703503061654,
            16589390678996741825,
            8567087982659180500,
            8236943971468579104,
            14606686909208062275,
            4461894282559697271,
            2623848805529273446,
            6820927267034378486,
            14393599619569715182,
            5199894747923716756,
            206321364421131251,
            4071363758717862161,
            11965914866997389305,
            8109905844769656284,
            3492539957359367736,
            16856371139562646083,
            4333218987558602531,
            16089995180748288161,
            11191427142864224026,
            2622884336931596940,
            16105201810330583174,
            11381683384063743452,
            7873797126730706201,
            11178731223505120377,
            16800978016652635785,
            13461685021093913844,
            3055116765865974959,
            3602813646007838280,
            829147354810404950,
            4780507430409308744,
            18314860632940156926,
            6995096023652594133,
            5759566466885931830,
            4840076000542784388,
        ],
        vec![
            15245088662193948010,
            854969528224537163,
            192457876290468361,
            3156774054099849881,
            10102117358735393641,
            13923135497401538045,
            15603007686998930972,
            3707765480829539463,
            1075990372015045994,
            4440028045035707188,
            779932550205535682,
            13284596850012603887,
            13447370325749987403,
            10657005451799608034,
            17344058779081327933,
            1801131630646010099,
            17879455113972297046,
            1049662270419803525,
            17887003202529550415,
            13730724178286439296,
            3086493866184691051,
            7455503161286080904,
            14945249663072669446,
            7413071270018261565,
            8165098975144402988,
            15667870805615006559,
            4534237642686726425,
            5675059133984408369,
            13542693529471369730,
            4650690134857994243,
            10593876026982724440,
            8719234160809710444,
            7340192483727047710,
            2225660849988538666,
            3260628781823840386,
            14784063213821786553,
            13478324037708856111,
            6239844587086244103,
            14508626048519473050,
            11443816492520902359,
            7084448144752764341,
            11673478635762496725,
            13444020463604694513,
            1798574113181758005,
            15195278749704748030,
            3490272214933312037,
            15632500462832370824,
            9808665338648603851,
            6377980234800091876,
            11306384233660763805,
            6392788317448223882,
            8005181869701567455,
            4601526777105113530,
            9348184476999479133,
            16105441815997897842,
            15373735633778437011,
            11733794529384137433,
            769246272107807645,
            2922899274256775805,
            16218486247871807873,
            10650657974127272786,
            579665301817927565,
            6403006378940431337,
            10150254532952843560,
            3736822004545760197,
            10244207440138560761,
            16631379436671010056,
            17418302422321190629,
            4844439457855539440,
            9662799133272397874,
            11622100630061039998,
            11017257064923257696,
            14025546287952884200,
            1170766120552674008,
            4852413824670160293,
            18019298735978800767,
            14042374992041286164,
            6103187929964524269,
            5988592592688695870,
            5579172720281387479,
            10738878044274955012,
            8401646271610146442,
            12016061916593958227,
            14752402557741497038,
            5053283107906893264,
            12910662726197463795,
            787526459034857809,
            10304827788120361107,
            8387521101013404665,
            6030209567663971422,
            7511028869236306454,
            11105170944119024313,
            2911699195421772292,
            11710398806568443147,
            7599646386487625804,
            2146501359265516686,
            1193294087739295886,
            16419769173966961854,
            14779980297792837632,
            6286361066120350249,
            8246126699673376536,
            2339493649448723726,
            12383521129608538925,
            17459816050942292574,
            7213741082075285427,
            14702683527305456088,
            17849030573001874153,
            3273901152373442943,
            10086273715179643444,
            14351251935054659627,
            3067622597087477151,
            4241957707372911307,
            16686513037697490920,
            1503886102490162470,
            4222986769290077389,
            17209928444872897872,
            10064374817012298812,
            1391022681726221923,
            3482099619102309134,
            151151415131464647,
            5477310851692317777,
            8185741896741403527,
            12297179519749775078,
            6980896315258250234,
            5491311995173541969,
            10908311176531272611,
            15140263006374103771,
            16292302828281485620,
            13488663273854028028,
            17078235461511918753,
            523009743565281503,
            11105648925812514991,
            13827146014280242829,
        ],
        vec![10; 373],
        3627981030815073084,
        vec![
            10242139703917377352,
            6869501223013262871,
            3374240433299030218,
            2448664517749959925,
            12614665088252879609,
            15275142410865499832,
            7415514779145416012,
            4634939093621563784,
            14236482271744498259,
            16987935748141823121,
            9662195261206294164,
            8327530275898959224,
            17948858401312480900,
            16590992031072707948,
            8981557837131782478,
            17292811815398261598,
            10343772151713015660,
            16403800522193054061,
            11001578312297934300,
            9055563331722809276,
            6861684031441187837,
            6179379396114830115,
            15119399843907730738,
            2747263417069121706,
            12218921993633141137,
            15314449116975726182,
            2870623933631129133,
            8433855307245599470,
            9663369547205952712,
            16656478013118492468,
            5014296474163082063,
            15045852603430413673,
            9039056709562337243,
            1775730247666171519,
            10284009922885822735,
            17264560580274867574,
            8659184543116501827,
            9757501208876960807,
            8107556209186377816,
            13981920571894003246,
            8697727621393221097,
            10111281749746035823,
            11547580803378751509,
            9866091897888262831,
            6932444770006022090,
            12886358055723945255,
            5304800874292271788,
            11523612872653318479,
            3158091624397075356,
            17376725070179056084,
            11353224313201827872,
            17568378701446022201,
            7083677611886335059,
            16630882804589833859,
            17071293908015663903,
            3335332823966517520,
            4551571010812166323,
            13956655949392024934,
            11137278406051829526,
            4896962372622758702,
            11813643533502615793,
            4581901117239147425,
            14593775693535083700,
            1510447605784811068,
            5229627540215802358,
            627282762635294446,
            4791499629805752429,
            10361188936025453248,
            4774699819640096953,
            13333081235316911046,
            10942108924892665866,
            16109048665458409419,
            15314689190690266823,
            7310144211471143550,
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            4726986969285156208,
            8190850143304789515,
            1542721709305293842,
            12747051062417360628,
            10431119479932549840,
            5201202511017795553,
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            2687570019862487900,
            6488374897263692453,
            13582359095544274953,
            14484022084752061384,
            5515018660843652873,
            8092760845580227599,
            2766454334996797883,
            18180569531864904251,
            3565091373050863067,
            12322298177624181037,
            11958316134617603606,
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            326451074713852933,
            396115137030276241,
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            4304686608856751519,
            13291683117058685204,
            9284558513918029302,
            3718112862893900571,
            9149607979222078382,
            16527849990011073270,
            7727656976171348203,
            6573616922619656711,
            16034045732340296623,
            5589930567903701070,
            10683802387965352692,
            2587318764516570107,
            10209376077208389402,
            17079775160514374021,
            6530000943687323192,
            3718180221149684880,
            18189517521112254114,
            5384059937475335410,
            609609335008271023,
            3896142000481106293,
            16658219747219000806,
            13778288993082074923,
            5582595801212065024,
            14131451705219445462,
            359265879248692883,
            16936956071544174710,
            15873091614777053247,
            2434660658463974075,
            2592075329848798604,
            14194422636533088807,
            7167203043317150959,
            11315395284250045497,
            2099964792961604585,
            1566230315841355073,
            16092624371341405050,
            11961408413498591004,
            16535764519833385727,
            16358286323170046012,
            460344037919559599,
            14169011134767857411,
            14106023301858944314,
            9862229088119368783,
            3357504073133417614,
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            13563108311952119833,
            2143046275198271992,
            3979966820061122245,
            9996599392497104038,
            18113381312649782606,
            2789577810558634539,
            2505893204182156006,
            5459782976231228406,
            14606983256382437526,
            17289593816561860577,
            18339393907946617355,
            2258995667690444422,
            8894197183418385086,
            18341894792090069275,
            11391274557331577482,
            1810514891585419128,
            7148289154353071487,
            2119113819713138874,
            10271861970912805029,
            7676899172550981679,
            8624446484952065684,
            5656835932522160843,
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            14082469678115799904,
            10255722969024722343,
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            7144384677827477175,
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            12150328138548453752,
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            3748717285404782518,
            4780951876470252398,
            16824789631565337027,
            15839657600800222362,
            10490421032004326835,
            13577644447718918237,
            6631866657761640573,
            981988710472148081,
            2178386723930299579,
            4509700998976576445,
            7085230111532242363,
            15742412314382227975,
            1728841640197493179,
            9413625884895979097,
            17011657766150783108,
            7453240289129863943,
            14356227040755802558,
            8727877790598607374,
            6442754498625288772,
            7392839418676330133,
            14897473376443001590,
            6366239299333724836,
            9325048183999746407,
            3440007856498006275,
            15045549040986890155,
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            15774059386607531181,
            16583828728361725400,
            2690073375909258220,
            3913838352065921651,
            11930346452395449553,
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            1979183109855731075,
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            6202127415457809639,
            15616037631795263171,
            13758692529633453573,
            4703023550466089121,
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            13839074645977905740,
            6298401080101494064,
            18179185785092266771,
            808757022663954675,
            655320984483308172,
            6492165610369841580,
            10622849106810507658,
            3627981030815073084,
        ],
    );
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_greater_to_out_fail_1() {
    let mut out = vec![10; 4];
    let xs = series(6, 3);
    limbs_mul_greater_to_out_basecase(&mut out, &xs, &[1, 2]);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_greater_to_out_fail_2() {
    let mut out = vec![10; 5];
    let ys = series(1, 3);
    limbs_mul_greater_to_out_basecase(&mut out, &[6, 7], &ys);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_greater_to_out_fail_3() {
    let mut out = vec![10; 3];
    limbs_mul_greater_to_out_basecase(&mut out, &[6, 7], &[]);
}

fn limbs_mul_basecase_helper(out: &[Limb], xs: &[Limb], ys: &[Limb]) -> Vec<Limb> {
    let mut out = out.to_vec();
    let old_out = out.clone();
    limbs_mul_greater_to_out_basecase(&mut out, xs, ys);
    let n = Natural::from_limbs_asc(xs) * Natural::from_limbs_asc(ys);
    let len = xs.len() + ys.len();
    let mut limbs = n.into_limbs_asc();
    limbs.resize(len, 0);
    assert_eq!(limbs, &out[..len]);
    assert_eq!(&out[len..], &old_out[len..]);
    out
}

#[test]
fn limbs_mul_greater_to_out_properties() {
    let mut config = GenConfig::new();
    config.insert("mean_length_n", 1024);
    config.insert("mean_stripe_n", 512 << Limb::LOG_WIDTH);
    unsigned_vec_triple_gen_var_2().test_properties_with_config(&config, |(mut out, xs, ys)| {
        let old_out = out.clone();
        let expected_out = limbs_mul_basecase_helper(&out, &xs, &ys);
        let mut mul_scratch = vec![0; limbs_mul_greater_to_out_scratch_len(xs.len(), ys.len())];
        let highest_result_limb = limbs_mul_greater_to_out(&mut out, &xs, &ys, &mut mul_scratch);
        assert_eq!(highest_result_limb, out[xs.len() + ys.len() - 1]);
        assert_eq!(out, expected_out);
        let mut out = old_out;
        limbs_mul_greater_to_out_basecase_mem_opt(&mut out, &xs, &ys);
        assert_eq!(out, expected_out);
    });
}

#[cfg(feature = "32_bit_limbs")]
#[test]
fn test_limbs_mul_to_out() {
    let test = |xs: Vec<Limb>, ys: Vec<Limb>, out_before: Vec<Limb>, out_after| {
        let mut out = out_before;
        let mut mul_scratch = vec![0; limbs_mul_to_out_scratch_len(xs.len(), ys.len())];
        limbs_mul_to_out(&mut out, &xs, &ys, &mut mul_scratch);
        assert_eq!(out, out_after);
    };
    test(vec![2], vec![3], vec![10; 3], vec![6, 0, 10]);
    test(
        vec![1; 3],
        series(1, 3),
        vec![5; 8],
        vec![1, 3, 6, 5, 3, 0, 5, 5],
    );
    test(series(1, 3), vec![6, 7], vec![0; 5], vec![6, 19, 32, 21, 0]);
    test(vec![6, 7], series(1, 3), vec![0; 5], vec![6, 19, 32, 21, 0]);
    test(
        vec![100, 101, 102],
        vec![102, 101, 100],
        vec![10; 7],
        vec![10200, 20402, 30605, 20402, 10200, 0, 10],
    );
    test(vec![u32::MAX], vec![1], vec![10; 3], vec![u32::MAX, 0, 10]);
    test(
        vec![u32::MAX],
        vec![u32::MAX],
        vec![10; 4],
        vec![1, u32::MAX - 1, 10, 10],
    );
    test(
        vec![u32::MAX; 3],
        vec![u32::MAX; 3],
        vec![10; 6],
        vec![1, 0, 0, u32::MAX - 1, u32::MAX, u32::MAX],
    );
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_to_out_fail_1() {
    let mut out = vec![10, 10, 10];
    let mut mul_scratch = vec![0; limbs_mul_to_out_scratch_len(2, 2)];
    limbs_mul_to_out(&mut out, &[6, 7], &[1, 2], &mut mul_scratch);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_to_out_fail_2() {
    let mut out = vec![10, 10, 10, 10];
    let mut mul_scratch = vec![0; limbs_mul_to_out_scratch_len(1, 3)];
    limbs_mul_to_out(&mut out, &[], &[1, 2, 3], &mut mul_scratch);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_to_out_fail_3() {
    let mut out = vec![10, 10, 10, 10];
    let mut mul_scratch = vec![0; limbs_mul_to_out_scratch_len(1, 1)];
    limbs_mul_to_out(&mut out, &[1, 2, 3], &[], &mut mul_scratch);
}

#[test]
fn limbs_mul_to_out_properties() {
    let mut config = GenConfig::new();
    config.insert("mean_length_n", 32);
    config.insert("mean_stripe_n", 16 << Limb::LOG_WIDTH);
    unsigned_vec_triple_gen_var_3().test_properties_with_config(&config, |(mut out, xs, ys)| {
        let old_out = out.clone();
        let mut mul_scratch = vec![0; limbs_mul_to_out_scratch_len(xs.len(), ys.len())];
        let highest_result_limb = limbs_mul_to_out(&mut out, &xs, &ys, &mut mul_scratch);
        assert_eq!(highest_result_limb, out[xs.len() + ys.len() - 1]);
        let len = xs.len() + ys.len();
        let n = Natural::from_owned_limbs_asc(xs) * Natural::from_owned_limbs_asc(ys);
        let mut limbs = n.into_limbs_asc();
        limbs.resize(len, 0);
        assert_eq!(limbs, &out[..len]);
        assert_eq!(&out[len..], &old_out[len..]);
    });
}

#[cfg(feature = "32_bit_limbs")]
#[test]
fn test_limbs_mul_greater_to_out_toom_22() {
    let test = |xs: &[Limb], ys: &[Limb], out_before: &[Limb], out_after: &[Limb]| {
        let mut scratch = vec![0; limbs_mul_greater_to_out_toom_22_scratch_len(xs.len(), ys.len())];
        let mut out = out_before.to_vec();
        limbs_mul_greater_to_out_basecase(&mut out, xs, ys);
        assert_eq!(out, out_after);
        let mut out = out_before.to_vec();
        limbs_mul_greater_to_out_toom_22(&mut out, xs, ys, &mut scratch);
        assert_eq!(out, out_after);
    };
    // s != n
    // !(xs0[s] == 0 && limbs_cmp_same_length(&xs0[..s], xs1) == Ordering::Less)
    // t != n
    // slice_test_zero(&ys0[t..]) && limbs_cmp_same_length(&ys0[..t], ys1) != Ordering::Less
    // s <= t
    // !v_neg_1_neg
    // carry <= 2
    test(
        &series(2, 3),
        &series(3, 3),
        &[10; 6],
        &[6, 17, 34, 31, 20, 0],
    );
    // xs0[s] == 0 && limbs_cmp_same_length(&xs0[..s], xs1) == Ordering::Less
    // v_neg_1_neg
    //test(&[2, 0, 4], &[3, 4, 5], &[10, 10, 10, 10, 10, 10], vec![6, 8, 22, 16, 20, 0]);
    test(&[1; 3], &series(1, 3), &[5; 8], &[1, 3, 6, 5, 3, 0, 5, 5]);
    // s == n
    // limbs_cmp_same_length(ys0, ys1) != Ordering::Less
    // t == n
    // limbs_cmp_same_length(ys0, ys1) == Ordering::Less
    test(&[1; 4], &series(1, 4), &[5; 8], &[1, 3, 6, 10, 9, 7, 4, 0]);
    // limbs_cmp_same_length(&a0[..n], &a1[..n]) == Ordering::Less
    // limbs_cmp_same_length(&b0[..n], &b1[..n]) != Ordering::Less
    test(&series(1, 4), &[1; 4], &[5; 8], &[1, 3, 6, 10, 9, 7, 4, 0]);
    // slice_test_zero(&ys0[t..]) && limbs_cmp_same_length(&ys0[..t], ys1) == Ordering::Less
    test(
        &series(1, 5),
        &[1, 0, 0, 4],
        &[5; 9],
        &[1, 2, 3, 8, 13, 12, 16, 20, 0],
    );
    // s > t
    test(&[1; 4], &series(1, 3), &[5; 8], &[1, 3, 6, 6, 5, 3, 0, 5]);
    test(
        &[100, 101, 102],
        &[102, 101, 100],
        &[10; 7],
        &[10200, 20402, 30605, 20402, 10200, 0, 10],
    );
    let xs = rle_decode(&[(u32::MAX, 8), (4294950911, 1), (u32::MAX, 21), (536870911, 1), (0, 25)]);
    let ys = rle_decode(&[(u32::MAX, 2), (4294963199, 1), (u32::MAX, 18), (268435455, 1), (0, 34)]);
    let out_len = xs.len() + ys.len();
    // carry > 2
    test(
        &xs,
        &ys,
        &vec![10; out_len],
        &rle_decode(&[
            (1, 1),
            (0, 1),
            (4096, 1),
            (0, 5),
            (16384, 1),
            (0, 1),
            (67108864, 1),
            (0, 10),
            (4026531840, 1),
            (u32::MAX, 8),
            (3758095359, 1),
            (u32::MAX, 2),
            (4294966783, 1),
            (u32::MAX, 18),
            (33554431, 1),
            (0, 59),
        ]),
    );
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_greater_to_out_toom_22_fail_1() {
    let mut scratch = vec![];
    let mut out = vec![10; 4];
    limbs_mul_greater_to_out_toom_22(&mut out, &[6], &[1], &mut scratch);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_greater_to_out_toom_22_fail_2() {
    let mut scratch = vec![];
    let mut out = vec![10; 7];
    let xs = series(6, 3);
    let ys = series(1, 4);
    limbs_mul_greater_to_out_toom_22(&mut out, &xs, &ys, &mut scratch);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_greater_to_out_toom_22_fail_3() {
    let mut scratch = vec![];
    let mut out = vec![10; 7];
    let xs = series(6, 4);
    limbs_mul_greater_to_out_toom_22(&mut out, &xs, &[1, 2], &mut scratch);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_greater_to_out_toom_22_fail_4() {
    let mut scratch = vec![];
    let mut out = vec![10; 7];
    let xs = series(6, 3);
    limbs_mul_greater_to_out_toom_22(&mut out, &xs, &[1, 2], &mut scratch);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_greater_to_out_toom_22_fail_5() {
    let mut scratch = vec![];
    let mut out = vec![10; 4];
    let xs = series(6, 3);
    let ys = series(1, 3);
    limbs_mul_greater_to_out_toom_22(&mut out, &xs, &ys, &mut scratch);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_greater_to_out_toom_22_fail_6() {
    let mut scratch = vec![];
    let mut out = vec![10; 4];
    let xs = series(6, 3);
    limbs_mul_greater_to_out_toom_22(&mut out, &xs, &[], &mut scratch);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_greater_to_out_toom_22_fail_7() {
    let mut scratch = vec![];
    let mut out = vec![10; 4];
    let xs = series(6, 3);
    let ys = series(1, 4);
    limbs_mul_greater_to_out_toom_22(&mut out, &xs, &ys, &mut scratch);
}

macro_rules! mul_properties_helper {
    ($properties: ident, $mul: ident, $scratch: ident, $gen: ident) => {
        #[test]
        fn $properties() {
            let mut config = GenConfig::new();
            config.insert("mean_length_n", 2048);
            config.insert("mean_stripe_n", 4 << Limb::LOG_WIDTH);
            $gen().test_properties_with_config(&config, |(mut out, xs, ys)| {
                let expected_out = limbs_mul_basecase_helper(&out, &xs, &ys);
                let mut scratch = vec![0; $scratch(xs.len(), ys.len())];
                $mul(&mut out, &xs, &ys, &mut scratch);
                assert_eq!(out, expected_out);
            });
        }
    };
}
mul_properties_helper!(
    limbs_mul_greater_to_out_toom_22_properties,
    limbs_mul_greater_to_out_toom_22,
    limbs_mul_greater_to_out_toom_22_scratch_len,
    unsigned_vec_triple_gen_var_4
);
mul_properties_helper!(
    limbs_mul_greater_to_out_toom_32_properties,
    limbs_mul_greater_to_out_toom_32,
    limbs_mul_greater_to_out_toom_32_scratch_len,
    unsigned_vec_triple_gen_var_5
);
mul_properties_helper!(
    limbs_mul_greater_to_out_toom_33_properties,
    limbs_mul_greater_to_out_toom_33,
    limbs_mul_greater_to_out_toom_33_scratch_len,
    unsigned_vec_triple_gen_var_6
);
mul_properties_helper!(
    limbs_mul_greater_to_out_toom_42_properties,
    limbs_mul_greater_to_out_toom_42,
    limbs_mul_greater_to_out_toom_42_scratch_len,
    unsigned_vec_triple_gen_var_7
);
mul_properties_helper!(
    limbs_mul_greater_to_out_toom_43_properties,
    limbs_mul_greater_to_out_toom_43,
    limbs_mul_greater_to_out_toom_43_scratch_len,
    unsigned_vec_triple_gen_var_8
);
mul_properties_helper!(
    limbs_mul_greater_to_out_toom_44_properties,
    limbs_mul_greater_to_out_toom_44,
    limbs_mul_greater_to_out_toom_44_scratch_len,
    unsigned_vec_triple_gen_var_9
);
mul_properties_helper!(
    limbs_mul_greater_to_out_toom_52_properties,
    limbs_mul_greater_to_out_toom_52,
    limbs_mul_greater_to_out_toom_52_scratch_len,
    unsigned_vec_triple_gen_var_10
);
mul_properties_helper!(
    limbs_mul_greater_to_out_toom_53_properties,
    limbs_mul_greater_to_out_toom_53,
    limbs_mul_greater_to_out_toom_53_scratch_len,
    unsigned_vec_triple_gen_var_11
);
mul_properties_helper!(
    limbs_mul_greater_to_out_toom_54_properties,
    limbs_mul_greater_to_out_toom_54,
    limbs_mul_greater_to_out_toom_54_scratch_len,
    unsigned_vec_triple_gen_var_12
);
mul_properties_helper!(
    limbs_mul_greater_to_out_toom_62_properties,
    limbs_mul_greater_to_out_toom_62,
    limbs_mul_greater_to_out_toom_62_scratch_len,
    unsigned_vec_triple_gen_var_13
);
mul_properties_helper!(
    limbs_mul_greater_to_out_toom_63_properties,
    limbs_mul_greater_to_out_toom_63,
    limbs_mul_greater_to_out_toom_63_scratch_len,
    unsigned_vec_triple_gen_var_14
);
mul_properties_helper!(
    limbs_mul_greater_to_out_toom_6h_properties,
    limbs_mul_greater_to_out_toom_6h,
    limbs_mul_greater_to_out_toom_6h_scratch_len,
    unsigned_vec_triple_gen_var_15
);
mul_properties_helper!(
    limbs_mul_greater_to_out_toom_8h_properties,
    limbs_mul_greater_to_out_toom_8h,
    limbs_mul_greater_to_out_toom_8h_scratch_len,
    unsigned_vec_triple_gen_var_16
);

#[cfg(feature = "32_bit_limbs")]
#[test]
fn test_limbs_mul_greater_to_out_toom_32() {
    let test = |xs: Vec<Limb>, ys: Vec<Limb>, out_before: Vec<Limb>, out_after| {
        let mut out = out_before.to_vec();
        limbs_mul_greater_to_out_basecase(&mut out, &xs, &ys);
        assert_eq!(out, out_after);
        let mut out = out_before.to_vec();
        let mut scratch = vec![0; limbs_mul_greater_to_out_toom_32_scratch_len(xs.len(), ys.len())];
        limbs_mul_greater_to_out_toom_32(&mut out, &xs, &ys, &mut scratch);
        assert_eq!(out, out_after);
    };
    // !(ap1hi == 0 && limbs_cmp_same_length(ap1, xs1) == Ordering::Less)
    // t == n
    // limbs_cmp_same_length(ys0, ys1) == Ordering::Less
    // ap1hi != 1 and ap1hi != 2
    // !bp1hi
    // hi == 0 first time
    // v_neg_1_neg
    // s <= t
    // s + t > n
    // hi >= 0 second time
    test(
        series(2, 6),
        series(3, 4),
        vec![10; 10],
        vec![6, 17, 34, 58, 76, 94, 88, 71, 42, 0],
    );
    // limbs_cmp_same_length(ys0, ys1) != Ordering::Less
    // ap1hi == 2
    // bp1hi
    // !v_neg_1_neg
    test(
        vec![u32::MAX; 6],
        vec![u32::MAX; 4],
        vec![10; 10],
        vec![1, 0, 0, 0, u32::MAX, u32::MAX, u32::MAX - 1, u32::MAX, u32::MAX, u32::MAX],
    );
    // ap1hi == 0 && limbs_cmp_same_length(ap1, xs1) == Ordering::Less
    test(
        vec![0, 0, 1, 1, 0, 1],
        vec![0, 0, 0, 1],
        vec![10; 10],
        vec![0, 0, 0, 0, 0, 1, 1, 0, 1, 0],
    );
    // t != n
    // slice_test_zero(&ys0[t..]) && limbs_cmp_same_length(&ys0[..t], ys1) == Ordering::Less
    // s + t <= n
    test(
        vec![0, 0, 0, 0, 0, 0, 1],
        vec![0, 0, 0, 0, 1],
        vec![10; 12],
        vec![0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0],
    );
    // !(slice_test_zero(&ys0[t..]) && limbs_cmp_same_length(&ys0[..t], ys1) == Ordering::Less)
    test(
        vec![0, 0, 0, 0, 0, 0, 1],
        vec![0, 0, 1, 0, 1],
        vec![10; 12],
        vec![0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0],
    );
    // s > t
    test(
        series(1, 9),
        vec![9, 8, 7, 6, 5],
        vec![10; 14],
        vec![9, 26, 50, 80, 115, 150, 185, 220, 255, 200, 146, 94, 45, 0],
    );
    // ap1hi == 1
    test(
        vec![2543705880, 1859419010, 3343322808, 1165039137, 1872701663, 1957510151, 1589243046],
        vec![1919189400, 1295801997, 354566481, 1212146910, 1886225431],
        vec![10; 14],
        vec![
            1753714240, 1114397484, 4100081063, 2352383720, 667557204, 920036609, 2291920497,
            3338154324, 3806846000, 1880963052, 291601955, 697949587, 10, 10,
        ],
    );
    // hi != 0 first time
    test(
        vec![706760835, 4153647095, 3843998199, 2077172825, 1158686949, 3157624247],
        vec![2847735618, 2779635711, 2471732382, 2655639495],
        vec![10; 10],
        vec![
            2814066374, 2022835469, 2101335047, 312674723, 2952296274, 1055977952, 590716674,
            290888444, 3944399226, 1952404077,
        ],
    );
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_greater_to_out_toom_32_fail_1() {
    let mut scratch = vec![0; limbs_mul_greater_to_out_toom_32_scratch_len(1, 1)];
    let mut out = vec![10; 4];
    limbs_mul_greater_to_out_toom_32(&mut out, &[6], &[1], &mut scratch);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_greater_to_out_toom_32_fail_2() {
    let mut scratch = vec![0; limbs_mul_greater_to_out_toom_32_scratch_len(3, 4)];
    let mut out = vec![10; 7];
    let xs = series(6, 3);
    let ys = series(1, 4);
    limbs_mul_greater_to_out_toom_32(&mut out, &xs, &ys, &mut scratch);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_greater_to_out_toom_32_fail_3() {
    let mut scratch = vec![0; limbs_mul_greater_to_out_toom_32_scratch_len(5, 4)];
    let mut out = vec![10; 9];
    let xs = series(6, 5);
    let ys = series(1, 4);
    limbs_mul_greater_to_out_toom_32(&mut out, &xs, &ys, &mut scratch);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_greater_to_out_toom_32_fail_4() {
    let mut scratch = vec![0; limbs_mul_greater_to_out_toom_32_scratch_len(6, 3)];
    let mut out = vec![10; 9];
    let xs = series(6, 6);
    let ys = series(1, 3);
    limbs_mul_greater_to_out_toom_32(&mut out, &xs, &ys, &mut scratch);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_greater_to_out_toom_32_fail_5() {
    let mut scratch = vec![0; limbs_mul_greater_to_out_toom_32_scratch_len(3, 0)];
    let mut out = vec![10; 4];
    let xs = series(6, 3);
    limbs_mul_greater_to_out_toom_32(&mut out, &xs, &[], &mut scratch);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_greater_to_out_toom_32_fail_6() {
    let mut scratch = vec![0; limbs_mul_greater_to_out_toom_32_scratch_len(6, 4)];
    let mut out = vec![10; 9];
    let xs = series(6, 6);
    let ys = series(1, 4);
    limbs_mul_greater_to_out_toom_32(&mut out, &xs, &ys, &mut scratch);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
fn test_limbs_mul_greater_to_out_toom_33() {
    let test = |xs: Vec<Limb>, ys: Vec<Limb>, out_before: Vec<Limb>, out_after| {
        let mut out = out_before.to_vec();
        limbs_mul_greater_to_out_basecase(&mut out, &xs, &ys);
        assert_eq!(out, out_after);
        let mut out = out_before.to_vec();
        let mut scratch = vec![0; limbs_mul_greater_to_out_toom_33_scratch_len(xs.len(), ys.len())];
        limbs_mul_greater_to_out_toom_33(&mut out, &xs, &ys, &mut scratch);
        assert_eq!(out, out_after);
    };
    // carry == 0 && limbs_cmp_same_length(&gp[..n], xs_1) == Ordering::Less
    // s != n
    // carry == 0 && limbs_cmp_same_length(&gp[..n], ys_1) == Ordering::Less
    // t != n
    // s <= t
    // !v_neg_1
    // two_r <= k + 1
    test(
        series(2, 5),
        series(3, 5),
        vec![10; 10],
        vec![6, 17, 34, 58, 90, 94, 88, 71, 42, 0],
    );
    // s > t
    test(
        series(2, 6),
        series(3, 5),
        vec![10; 11],
        vec![6, 17, 34, 58, 90, 115, 116, 106, 84, 49, 0],
    );
    // v_neg_1
    // two_r > k + 1
    test(
        series(2, 9),
        series(3, 8),
        vec![10; 17],
        vec![6, 17, 34, 58, 90, 131, 182, 244, 296, 315, 320, 310, 284, 241, 180, 100, 0],
    );
    test(
        series(3, 5),
        series(2, 5),
        vec![10; 10],
        vec![6, 17, 34, 58, 90, 94, 88, 71, 42, 0],
    );
    // !(carry == 0 && limbs_cmp_same_length(&gp[..n], xs_1) == Ordering::Less)
    // !(carry == 0 && limbs_cmp_same_length(&gp[..n], ys_1) == Ordering::Less)
    test(
        vec![u32::MAX; 5],
        vec![u32::MAX; 5],
        vec![10; 10],
        vec![1, 0, 0, 0, 0, u32::MAX - 1, u32::MAX, u32::MAX, u32::MAX, u32::MAX],
    );
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_greater_to_out_toom_33_fail_1() {
    let mut scratch = vec![0; limbs_mul_greater_to_out_toom_33_scratch_len(1, 1)];
    let mut out = vec![10; 4];
    limbs_mul_greater_to_out_toom_33(&mut out, &[6], &[1], &mut scratch);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_greater_to_out_toom_33_fail_2() {
    let mut scratch = vec![0; limbs_mul_greater_to_out_toom_33_scratch_len(5, 5)];
    let mut out = vec![10; 11];
    let xs = series(6, 5);
    let ys = series(1, 6);
    limbs_mul_greater_to_out_toom_33(&mut out, &xs, &ys, &mut scratch);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_greater_to_out_toom_33_fail_3() {
    let mut scratch = vec![0; limbs_mul_greater_to_out_toom_33_scratch_len(5, 5)];
    let mut out = vec![10; 9];
    let xs = series(6, 5);
    let ys = series(1, 4);
    limbs_mul_greater_to_out_toom_33(&mut out, &xs, &ys, &mut scratch);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_greater_to_out_toom_33_fail_4() {
    let mut scratch = vec![0; limbs_mul_greater_to_out_toom_33_scratch_len(5, 5)];
    let mut out = vec![10; 5];
    let xs = series(6, 5);
    limbs_mul_greater_to_out_toom_33(&mut out, &xs, &[], &mut scratch);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_greater_to_out_toom_33_fail_5() {
    let mut scratch = vec![0; limbs_mul_greater_to_out_toom_33_scratch_len(6, 6)];
    let mut out = vec![10; 9];
    let xs = series(6, 6);
    let ys = series(1, 5);
    limbs_mul_greater_to_out_toom_33(&mut out, &xs, &ys, &mut scratch);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
fn test_limbs_mul_greater_to_out_toom_42() {
    let test = |xs: Vec<Limb>, ys: Vec<Limb>, out_before: Vec<Limb>, out_after| {
        let mut out = out_before.to_vec();
        limbs_mul_greater_to_out_basecase(&mut out, &xs, &ys);
        assert_eq!(out, out_after);
        let mut out = out_before.to_vec();
        let mut scratch = vec![0; limbs_mul_greater_to_out_toom_42_scratch_len(xs.len(), ys.len())];
        limbs_mul_greater_to_out_toom_42(&mut out, &xs, &ys, &mut scratch);
        assert_eq!(out, out_after);
    };
    // v_neg_1_neg
    // t == n
    // limbs_cmp_same_length(ys_0, ys_1) == Ordering::Less
    // s <= t
    // as1[n] not 1, 2, or 3
    test(
        series(2, 4),
        vec![3, 4],
        vec![10; 7],
        vec![6, 17, 24, 31, 20, 0, 10],
    );
    // !v_neg_1_neg
    // s != n
    // t != n
    // !(slice_test_zero(&ys_0[t..]) && limbs_cmp_same_length(&ys_0[..t], ys_1) == Ordering::Less)
    test(
        series(2, 7),
        series(3, 3),
        vec![10; 10],
        vec![6, 17, 34, 46, 58, 70, 82, 67, 40, 0],
    );
    // s > t
    test(
        series(2, 8),
        series(3, 3),
        vec![10; 11],
        vec![6, 17, 34, 46, 58, 70, 82, 94, 76, 45, 0],
    );
    // limbs_cmp_same_length(ys_0, ys_1) != Ordering::Less
    test(
        vec![0, 0, 0, 1],
        vec![1, 1],
        vec![10; 6],
        vec![0, 0, 0, 1, 1, 0],
    );
    // as1[n] == 1
    test(
        vec![
            2363703565, 2011430902, 405935879, 3293866119, 79230945, 4067912411, 54522599,
            3863530924, 2648195217, 3696638907, 2693775185, 2466180916, 2288038816, 3085875921,
            2622914893, 3412444602, 1714899352, 1458044565, 4160795266,
        ],
        vec![
            2010684769, 395852000, 1475286147, 263729287, 1827966398, 926833006, 3647866695,
            2299638628,
        ],
        vec![10; 27],
        vec![
            2935529197, 2628679470, 2989406385, 4135607148, 3098618197, 1986483787, 2969118597,
            4064944337, 1353361316, 3300804798, 3539475248, 1813351909, 4189109323, 1508204245,
            3032195050, 2111172804, 2647234523, 763063403, 499753337, 484003129, 951290762,
            31889895, 4291170933, 743974460, 931456782, 3403938046, 2227799389,
        ],
    );
    // bs1[n] != 0
    test(
        vec![
            1023706198, 1055957821, 62637438, 3129002448, 1343635842, 1979891039, 2332614953,
            820715064, 126240740, 3763174513, 874511155, 1433571832, 1799667271, 828081508,
            1790140791, 3456862168, 182082249,
        ],
        vec![
            272565221, 2271318511, 3915555663, 752672586, 2086228575, 93709012, 4089106295,
            1296382745, 4014782836, 4084383484,
        ],
        vec![10; 27],
        vec![
            2478924526, 600853546, 3764116188, 869876026, 49911338, 2430145334, 1531060628,
            4131353567, 2147110402, 1698823317, 3610138028, 2221603642, 2262453949, 2700908655,
            2085097953, 1179421079, 2314185794, 3274969801, 956808943, 183640877, 769743340,
            2499732116, 168215214, 1611459466, 1659741921, 3303732250, 173154690,
        ],
    );
    // as1[n] == 2
    test(
        vec![
            0xfffff,
            0,
            0,
            4294965248,
            0x1ffffff,
            0,
            0,
            0,
            4294966784,
            u32::MAX,
            u32::MAX,
            u32::MAX,
            0,
            0x80000000,
            u32::MAX,
            u32::MAX,
            u32::MAX,
            u32::MAX,
            u32::MAX,
        ],
        vec![u32::MAX, u32::MAX, u32::MAX, 2047, 0, 0, 4294705152, u32::MAX],
        vec![10; 27],
        vec![
            4293918721,
            u32::MAX,
            u32::MAX,
            0x7fffffff,
            4261412864,
            u32::MAX,
            4291035135,
            4294967231,
            1049102,
            0x20000000,
            0,
            4293914624,
            0x1fffffe,
            0x80000000,
            0x8000000,
            2048,
            4294966784,
            4294966271,
            4294705151,
            u32::MAX - 1,
            0x20000,
            0x80000000,
            2047,
            0,
            0,
            4294705152,
            u32::MAX,
        ],
    );
    // asm1[n] != 0
    test(
        vec![3338024033, 1570788701, 4067509056, 680440343],
        vec![599772085, 925834366],
        vec![10; 6],
        vec![1056633749, 686831275, 2758938475, 3727232403, 1859912609, 146677497],
    );
    // as1[n] == 3
    test(
        vec![4030415682, 3643742328, 2586387240, 3719633661],
        vec![708497006, 797041707],
        vec![10; 6],
        vec![4203348572, 3202027474, 4170951291, 2012723103, 3609216593, 690273745],
    );
    // slice_test_zero(&ys_0[t..]) && limbs_cmp_same_length(&ys_0[..t], ys_1) == Ordering::Less
    test(
        vec![
            0,
            u32::MAX,
            u32::MAX,
            0xfffff,
            0xfffffff0,
            u32::MAX,
            63,
            0,
            0x80000000,
            u32::MAX,
            u32::MAX,
        ],
        vec![0xffff, 0, 0, 4294967264],
        vec![10; 15],
        vec![
            0,
            4294901761,
            u32::MAX,
            4293918719,
            4293918783,
            u32::MAX - 1,
            4265607103,
            1049087,
            0x7ffffff0,
            4294932480,
            63,
            0xffff,
            2147483664,
            u32::MAX,
            4294967263,
        ],
    );
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_greater_to_out_toom_42_fail_1() {
    let mut scratch = vec![0; limbs_mul_greater_to_out_toom_42_scratch_len(1, 1)];
    let mut out = vec![10; 4];
    limbs_mul_greater_to_out_toom_42(&mut out, &[6], &[1], &mut scratch);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_greater_to_out_toom_42_fail_2() {
    let mut scratch = vec![0; limbs_mul_greater_to_out_toom_42_scratch_len(5, 6)];
    let mut out = vec![10; 11];
    let xs = series(6, 5);
    let ys = series(1, 6);
    limbs_mul_greater_to_out_toom_42(&mut out, &xs, &ys, &mut scratch);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_greater_to_out_toom_42_fail_3() {
    let mut scratch = vec![0; limbs_mul_greater_to_out_toom_42_scratch_len(3, 2)];
    let mut out = vec![10; 9];
    let xs = series(6, 3);
    limbs_mul_greater_to_out_toom_42(&mut out, &xs, &[1, 2], &mut scratch);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_greater_to_out_toom_42_fail_4() {
    let mut scratch = vec![0; limbs_mul_greater_to_out_toom_42_scratch_len(5, 0)];
    let mut out = vec![10; 5];
    let xs = series(6, 5);
    limbs_mul_greater_to_out_toom_42(&mut out, &xs, &[], &mut scratch);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_greater_to_out_toom_42_fail_5() {
    let mut scratch = vec![0; limbs_mul_greater_to_out_toom_42_scratch_len(4, 2)];
    let mut out = vec![10; 4];
    let xs = series(6, 4);
    limbs_mul_greater_to_out_toom_42(&mut out, &xs, &[1, 2], &mut scratch);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
fn test_limbs_mul_greater_to_out_toom_43() {
    let test = |xs: Vec<Limb>, ys: Vec<Limb>, out_before: Vec<Limb>, out_after| {
        let mut out = out_before.to_vec();
        limbs_mul_greater_to_out_basecase(&mut out, &xs, &ys);
        assert_eq!(out, out_after);
        let mut out = out_before.to_vec();
        let mut scratch = vec![0; limbs_mul_greater_to_out_toom_43_scratch_len(xs.len(), ys.len())];
        limbs_mul_greater_to_out_toom_43(&mut out, &xs, &ys, &mut scratch);
        assert_eq!(out, out_after);
    };
    // n_high < n in limbs_mul_toom_evaluate_deg_3poly_in_2and_neg_2
    // !v_neg_2neg in limbs_mul_toom_evaluate_deg_3poly_in_2and_neg_2
    // limbs_cmp_same_length(small_scratch, bsm1) != Ordering::Less
    // s <= t
    // !v_neg_2neg in limbs_mul_toom_interpolate_6points
    // !v_neg_1_neg in limbs_mul_toom_interpolate_6points
    // n_high > n in limbs_mul_toom_interpolate_6points
    // special_carry_1 <= special_carry_2
    test(
        series(2, 11),
        series(3, 9),
        vec![10; 20],
        vec![
            6, 17, 34, 58, 90, 131, 182, 244, 318, 381, 444, 468, 476, 467, 440, 394, 328, 241,
            132, 0,
        ],
    );
    // n_high >= n in limbs_mul_toom_evaluate_deg_3poly_in_2and_neg_2
    // v_neg_2neg in limbs_mul_toom_evaluate_deg_3poly_in_2and_neg_2
    // t != n
    // limbs_cmp_same_length(small_scratch, bsm1) == Ordering::Less
    // *bsm1last == 0 && limbs_cmp_same_length(bsm1init, ys_1) == Ordering::Less
    // s > t
    test(
        series(2, 12),
        series(3, 8),
        vec![10; 20],
        vec![
            6, 17, 34, 58, 90, 131, 182, 244, 296, 348, 400, 452, 462, 455, 430, 386, 322, 237,
            130, 0,
        ],
    );
    // v_neg_2neg in limbs_mul_toom_interpolate_6points
    // v_neg_1_neg in limbs_mul_toom_interpolate_6points
    // n_high <= n in limbs_mul_toom_interpolate_6points
    test(
        series(2, 19),
        series(3, 11),
        vec![10; 30],
        vec![
            6, 17, 34, 58, 90, 131, 182, 244, 318, 405, 506, 594, 682, 770, 858, 946, 1034, 1122,
            1210, 1235, 1236, 1212, 1162, 1085, 980, 846, 682, 487, 260, 0,
        ],
    );
    // special_carry_1 > special_carry_2
    test(
        vec![
            3785023459, 4249117725, 1551102690, 4239134101, 2264608302, 1455009194, 3261002629,
            2233313730, 3807192178, 2550029068, 1259253479, 2657422450,
        ],
        vec![
            2921127090, 3493254221, 1579329255, 2624469567, 1678656523, 1653055771, 493445097,
            1702866165, 1046762910,
        ],
        vec![10; 21],
        vec![
            3169501142, 3910307595, 310092603, 1408815552, 1786334527, 2452212521, 670758829,
            4142968613, 1110881016, 3529286248, 2119180760, 3066268191, 1902231557, 1262478906,
            4083142666, 784312035, 3990199726, 3180402195, 1845375516, 421486236, 647662966,
        ],
    );
    test(
        vec![
            0,
            0,
            0,
            4286578688,
            u32::MAX,
            u32::MAX,
            u32::MAX,
            u32::MAX,
            u32::MAX,
            u32::MAX,
            7,
            0,
            0,
            0,
            0,
            0xfffffff0,
            u32::MAX,
            u32::MAX,
            u32::MAX,
        ],
        vec![
            0x7fffffff,
            0xfffff000,
            0x1fffff,
            0,
            0,
            0,
            2147483520,
            0,
            0xfffffff0,
            u32::MAX,
            u32::MAX,
            4290789375,
            u32::MAX,
            u32::MAX,
            u32::MAX,
            u32::MAX,
        ],
        vec![10; 35],
        vec![
            0,
            0,
            0,
            0x800000,
            4290772992,
            7,
            0xfffff000,
            u32::MAX,
            u32::MAX,
            0x3fffffff,
            4290772984,
            134184963,
            0x1000000,
            0,
            0,
            8176,
            64504,
            4261412868,
            4294967167,
            2139095038,
            0xfffff000,
            4263643135,
            0xfffffff7,
            255,
            0,
            2147483520,
            66846728,
            0xfffffff0,
            u32::MAX,
            u32::MAX,
            4290789375,
            4294967279,
            u32::MAX,
            u32::MAX,
            u32::MAX,
        ],
    );
}

#[cfg(not(feature = "32_bit_limbs"))]
#[test]
fn test_limbs_mul_greater_to_out_toom_43() {
    let test = |xs: Vec<Limb>, ys: Vec<Limb>, out_before: Vec<Limb>, out_after| {
        let mut out = out_before.to_vec();
        limbs_mul_greater_to_out_basecase(&mut out, &xs, &ys);
        assert_eq!(out, out_after);
        let mut out = out_before.to_vec();
        let mut scratch = vec![0; limbs_mul_greater_to_out_toom_43_scratch_len(xs.len(), ys.len())];
        limbs_mul_greater_to_out_toom_43(&mut out, &xs, &ys, &mut scratch);
        assert_eq!(out, out_after);
    };
    test(
        vec![
            18446744073701163071,
            u64::MAX,
            u64::MAX,
            0xfffffffff,
            0,
            0,
            0,
            0,
            18446743936270598144,
            u64::MAX,
            u64::MAX,
            u64::MAX,
            0x3ffff,
            0,
            0,
            0,
            0xffff000000000000,
            0x7fff,
            0,
            0,
            18446744073709518848,
            u64::MAX,
            u64::MAX,
            u64::MAX,
            u64::MAX,
        ],
        vec![
            18437736874454810624,
            0xfffff,
            0,
            18446744039349813248,
            u64::MAX,
            u64::MAX,
            u64::MAX,
            0x7fffffffffff,
            0,
            0xfffffffffffffff0,
            u64::MAX,
            u64::MAX,
            0x7ffffff,
            18446744056529682432,
            u64::MAX,
            u64::MAX,
        ],
        vec![10; 41],
        vec![
            17879290520660869120,
            18446735277682593791,
            u64::MAX,
            288228211488194559,
            72057594004373504,
            0,
            0,
            8866461766385536,
            18446744073709551552,
            18302628885835021327,
            u64::MAX,
            0x7ffff,
            18445617082746798336,
            144114380622004095,
            0,
            9214364837600034816,
            18446744073700114495,
            2336462208959,
            34359738336,
            0x1000000000,
            18445618173803233282,
            18446744039345618958,
            127,
            0x4000000000000,
            4611721063213039616,
            18437736874454810624,
            0x7ffff,
            13835058055282163712,
            18446744039350075391,
            4398047033343,
            18446181123756392448,
            u64::MAX,
            18446598938174685183,
            562949953454079,
            0xfffffffffffffff0,
            u64::MAX,
            18446744073709518847,
            0x7ffffff,
            18446744056529682432,
            u64::MAX,
            u64::MAX,
        ],
    );
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_greater_to_out_toom_43_fail_1() {
    let mut scratch = vec![0; limbs_mul_greater_to_out_toom_43_scratch_len(1, 1)];
    let mut out = vec![10; 4];
    limbs_mul_greater_to_out_toom_43(&mut out, &[6], &[1], &mut scratch);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_greater_to_out_toom_43_fail_2() {
    let mut scratch = vec![0; limbs_mul_greater_to_out_toom_43_scratch_len(11, 12)];
    let mut out = vec![10; 23];
    let xs = series(3, 11);
    let ys = series(2, 12);
    limbs_mul_greater_to_out_toom_43(&mut out, &xs, &ys, &mut scratch);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_greater_to_out_toom_43_fail_3() {
    let mut scratch = vec![0; limbs_mul_greater_to_out_toom_43_scratch_len(11, 8)];
    let mut out = vec![10; 19];
    let xs = series(3, 11);
    let ys = series(2, 8);
    limbs_mul_greater_to_out_toom_43(&mut out, &xs, &ys, &mut scratch);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_greater_to_out_toom_43_fail_4() {
    let mut scratch = vec![0; limbs_mul_greater_to_out_toom_43_scratch_len(12, 0)];
    let mut out = vec![10; 12];
    let xs = series(3, 11);
    limbs_mul_greater_to_out_toom_43(&mut out, &xs, &[], &mut scratch);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_greater_to_out_toom_43_fail_5() {
    let mut scratch = vec![0; limbs_mul_greater_to_out_toom_43_scratch_len(4, 2)];
    let mut out = vec![10; 5];
    let xs = series(3, 10);
    let ys = series(2, 10);
    limbs_mul_greater_to_out_toom_43(&mut out, &xs, &ys, &mut scratch);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
fn test_limbs_mul_greater_to_out_toom_44() {
    let test = |xs: Vec<Limb>, ys: Vec<Limb>, out_before: Vec<Limb>, out_after| {
        let mut out = out_before.to_vec();
        limbs_mul_greater_to_out_basecase(&mut out, &xs, &ys);
        assert_eq!(out, out_after);
        let mut out = out_before.to_vec();
        let mut scratch = vec![0; limbs_mul_greater_to_out_toom_44_scratch_len(xs.len(), ys.len())];
        limbs_mul_greater_to_out_toom_44(&mut out, &xs, &ys, &mut scratch);
        assert_eq!(out, out_after);
    };
    // limbs_mul_toom_evaluate_deg_3poly_in_2and_neg_2(bpx, bmx, ys, n, t, &mut scratch[..n + 1])
    // limbs_mul_toom_evaluate_deg_3poly_in_1and_neg_1(bpx, bmx, ys, n, t, &mut scratch[..n + 1])
    // s <= t
    // !w1_neg
    // !w3neg
    // w6n <= n + 1
    // limbs_mul_greater_to_out_basecase in limbs_mul_same_length_to_out_toom_44recursive
    test(
        series(2, 4),
        series(3, 4),
        vec![10; 8],
        vec![6, 17, 34, 58, 58, 49, 30, 0],
    );
    // w3neg
    test(
        vec![0, 0, 0, 1],
        vec![0, 0, 1, 1],
        vec![10; 8],
        vec![0, 0, 0, 0, 0, 1, 1, 0],
    );
    // w6n > n + 1
    test(
        vec![
            1528859315, 4288784328, 3677151116, 445199233, 3304488688, 3566979465, 3541025426,
            2491779846, 3112990742, 2583249486, 3403111749, 1930721237,
        ],
        vec![
            2700212626, 3890522506, 1407330442, 2072012244, 292784856, 2848511017, 2011019434,
            3729188240, 1314875514, 1752114201, 3480385261, 1532349465,
        ],
        vec![10; 24],
        vec![
            301610262, 3665600695, 2790869988, 562719619, 254881625, 3646308155, 2857045174,
            4219173388, 3417896791, 458617279, 3882403287, 617740409, 3296542840, 435168928,
            3570119313, 863483077, 2646855475, 2878510649, 4228994627, 2357119023, 2589237669,
            2274199643, 3000367783, 688838692,
        ],
    );
    // s > t
    test(
        vec![
            1588217107, 79108222, 2883552792, 2390312777, 1587172303, 2070384343, 2265280181,
            4013380367,
        ],
        vec![3177381025, 2776698917, 954518943, 3785176644, 3521195169, 550485155, 1499535299],
        vec![10; 15],
        vec![
            2639930611, 1074195093, 3974952249, 2825437951, 3084912647, 2589723741, 1008656003,
            3022162475, 2305314017, 1619919364, 894905935, 3957960884, 814161571, 756465381,
            1401222667,
        ],
    );
    // w1_neg
    test(
        vec![
            1047248630, 339306853, 1100911694, 3907715577, 4281628442, 1447091409, 3425204321,
            3871347591, 339462242, 1765234031, 3774533011, 980706746,
        ],
        vec![
            1454868694, 1975460471, 2212752551, 1982786615, 983847073, 3073742136, 438698610,
            1215648998, 2824467771, 3299124311, 2818671068,
        ],
        vec![10; 23],
        vec![
            2438877604, 4249888081, 2301349363, 1817920534, 2538709343, 1739256708, 179543633,
            2275519806, 1688820820, 759475921, 3927834077, 2138533648, 958932069, 2429920287,
            3858014276, 2853106604, 1837491388, 1616377262, 231659922, 680814190, 417532392,
            428918230, 643611358,
        ],
    );
    test(
        vec![986333060, 254638637, 1577120658, 1458096412, 474582958, 4115735719, 4031007047],
        vec![2096725444, 3871299248, 1414038108, 2617834141, 1553210626, 2669030715, 3093885541],
        vec![10; 14],
        vec![
            2067797264, 3922708625, 2600678884, 825822853, 2499590824, 1035492325, 1957325707,
            1890833276, 3433274404, 1510974136, 2269171082, 854613327, 1796482159, 2903741417,
        ],
    );
}

#[cfg(not(feature = "32_bit_limbs"))]
#[test]
fn test_limbs_mul_greater_to_out_toom_44() {
    let test = |xs: Vec<Limb>, ys: Vec<Limb>, out_before: Vec<Limb>, out_after| {
        let mut out = out_before.to_vec();
        limbs_mul_greater_to_out_basecase(&mut out, &xs, &ys);
        assert_eq!(out, out_after);
        let mut out = out_before.to_vec();
        let mut scratch = vec![0; limbs_mul_greater_to_out_toom_44_scratch_len(xs.len(), ys.len())];
        limbs_mul_greater_to_out_toom_44(&mut out, &xs, &ys, &mut scratch);
        assert_eq!(out, out_after);
    };
    test(
        series(2, 4),
        series(3, 4),
        vec![10; 8],
        vec![6, 17, 34, 58, 58, 49, 30, 0],
    );
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_greater_to_out_toom_44_fail_1() {
    let mut scratch = vec![0; limbs_mul_greater_to_out_toom_44_scratch_len(1, 1)];
    let mut out = vec![10; 10];
    limbs_mul_greater_to_out_toom_44(&mut out, &[6], &[1], &mut scratch);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_greater_to_out_toom_44_fail_2() {
    let mut scratch = vec![0; limbs_mul_greater_to_out_toom_44_scratch_len(4, 4)];
    let mut out = vec![10; 9];
    let xs = series(3, 4);
    let ys = series(2, 5);
    limbs_mul_greater_to_out_toom_44(&mut out, &xs, &ys, &mut scratch);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_greater_to_out_toom_44_fail_3() {
    let mut scratch = vec![0; limbs_mul_greater_to_out_toom_44_scratch_len(3, 3)];
    let mut out = vec![10; 6];
    let xs = series(3, 3);
    let ys = series(2, 3);
    limbs_mul_greater_to_out_toom_44(&mut out, &xs, &ys, &mut scratch);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_greater_to_out_toom_44_fail_4() {
    let mut scratch = vec![0; limbs_mul_greater_to_out_toom_44_scratch_len(11, 11)];
    let mut out = vec![10; 11];
    let xs = series(3, 11);
    limbs_mul_greater_to_out_toom_44(&mut out, &xs, &[], &mut scratch);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_greater_to_out_toom_44_fail_5() {
    let mut scratch = vec![0; limbs_mul_greater_to_out_toom_44_scratch_len(4, 4)];
    let mut out = vec![10; 7];
    let xs = series(3, 4);
    let ys = series(2, 4);
    limbs_mul_greater_to_out_toom_44(&mut out, &xs, &ys, &mut scratch);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
fn test_limbs_mul_greater_to_out_toom_52() {
    let test = |xs: &[Limb], ys: &[Limb], out_before: &[Limb], out_after: &[Limb]| {
        let mut out = out_before.to_vec();
        limbs_mul_greater_to_out_basecase(&mut out, xs, ys);
        assert_eq!(out, out_after);
        let mut out = out_before.to_vec();
        let mut scratch = vec![0; limbs_mul_greater_to_out_toom_52_scratch_len(xs.len(), ys.len())];
        limbs_mul_greater_to_out_toom_52(&mut out, xs, ys, &mut scratch);
        assert_eq!(out, out_after);
    };
    // degree.even() in limbs_mul_toom_evaluate_poly_in_2and_neg_2
    // !v_neg_2neg in limbs_mul_toom_evaluate_poly_in_2and_neg_2
    // t != n
    // !(slice_test_zero(&ys_0[t..]) && limbs_cmp_same_length(&ys_0[..t], ys_1) == Ordering::Less)
    // !v_neg_1_neg
    // !(slice_test_zero(&bsm1[t..]) && limbs_cmp_same_length(&bsm1[..t], ys_1) == Ordering::Less)
    // degree.even() in limbs_mul_toom_evaluate_poly_in_1and_neg_1
    // !v_neg_1_neg in limbs_mul_toom_evaluate_poly_in_1and_neg_1
    test(
        &series(2, 15),
        &series(3, 5),
        &[10; 20],
        &[
            6, 17, 34, 58, 90, 115, 140, 165, 190, 215, 240, 265, 290, 315, 340, 314, 268, 201,
            112, 0,
        ],
    );
    test(
        &[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1],
        &[0, 0, 0, 0, 1, 0],
        &[10; 20],
        &[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0],
    );
    // n_high != n in limbs_mul_toom_evaluate_poly_in_2and_neg_2
    // t == n
    // limbs_cmp_same_length(ys_0, ys_1) == Ordering::Less
    // v_neg_1_neg
    test(
        &[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1],
        &[0, 0, 0, 0, 0, 1],
        &[10; 20],
        &[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0],
    );
    // slice_test_zero(&ys_0[t..]) && limbs_cmp_same_length(&ys_0[..t], ys_1) == Ordering::Less
    test(
        &[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1],
        &[0, 0, 0, 0, 1],
        &[10; 20],
        &[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0],
    );
    // limbs_cmp_same_length(ys_0, ys_1) != Ordering::Less
    // limbs_cmp_same_length(bsm1, ys_1) == Ordering::Less
    test(
        &[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1],
        &[0, 0, 1, 0, 0, 1],
        &[10; 20],
        &[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0],
    );
    // v_neg_2neg in limbs_mul_toom_evaluate_poly_in_2and_neg_2
    // v_neg_1_neg in limbs_mul_toom_evaluate_poly_in_1and_neg_1
    // limbs_mul_toom_evaluate_poly_in_1and_neg_1(as1, asm1, 4, xs, n, s, &mut v_neg_1[..m])
    test(
        &[
            281500646, 1572406350, 108746052, 4056047843, 89307364, 1006007374, 2902260577,
            1250995384, 1556873818, 3846421711, 280743259, 1728158805, 467926284, 2330565417,
        ],
        &[2509320863, 2201587434, 926371577, 1243694325, 1112023631, 2791032478],
        &[10; 20],
        &[
            1191903194, 1277561191, 2672986331, 45667421, 2742410814, 2602170945, 2815699572,
            2317624023, 952805243, 577394769, 1002744907, 4175910221, 2433548489, 2550394831,
            3650814344, 1121996596, 3441179979, 3561879910, 1574546788, 1514489709,
        ],
    );
    // limbs_cmp_same_length(bsm1, ys_1) != Ordering::Less
    test(
        &[
            2331447040, 1003213663, 1873981685, 3371337621, 3796896013, 4144448610, 2569252563,
            2859304641, 1027973602, 3158196152, 4058699545, 2002924383, 3295505824, 695758308,
        ],
        &[725028139, 2984864771, 2939417227, 3047223286, 3526157986, 1078000342],
        &[10; 20],
        &[
            474121472, 1561322164, 715684992, 3182777436, 384530074, 3827205870, 2267366778,
            1586160630, 3779201468, 900553139, 2867049131, 2027414411, 2054056558, 2671776484,
            3374007062, 3091178442, 1888125000, 2974781424, 307612679, 174629431,
        ],
    );
    // slice_test_zero(&bsm1[t..]) && limbs_cmp_same_length(&bsm1[..t], ys_1) == Ordering::Less
    test(
        &rle_decode(&[
            (32767, 1),
            (0, 5),
            (4294836224, 1),
            (u32::MAX, 5),
            (4278206463, 1),
            (u32::MAX, 2),
            (31, 1),
            (0, 2),
            (4294443008, 1),
            (u32::MAX, 7),
        ]),
        &[0, 0, u32::MAX, u32::MAX, u32::MAX, 0, 0, 4294967232, u32::MAX, 4227858559, u32::MAX],
        &[10; 37],
        &[
            0,
            0,
            4294934529,
            u32::MAX,
            u32::MAX,
            0x7ffe,
            0,
            4292870208,
            0x1ffff,
            71303040,
            4294966784,
            4294868990,
            u32::MAX,
            0x7fffff,
            16760832,
            0xff000000,
            2047,
            4278075360,
            u32::MAX,
            1072693247,
            524320,
            2149580800,
            259839,
            4277682176,
            2147487743,
            0x1ffffff,
            32,
            4227858432,
            8190,
            4294443008,
            u32::MAX,
            0,
            0,
            4294967232,
            u32::MAX,
            4227858559,
            u32::MAX,
        ],
    );
}

#[cfg(not(feature = "32_bit_limbs"))]
#[test]
fn test_limbs_mul_greater_to_out_toom_52() {
    let test = |xs: Vec<Limb>, ys: Vec<Limb>, out_before: Vec<Limb>, out_after| {
        let mut out = out_before.to_vec();
        limbs_mul_greater_to_out_basecase(&mut out, &xs, &ys);
        assert_eq!(out, out_after);
        let mut out = out_before.to_vec();
        let mut scratch = vec![0; limbs_mul_greater_to_out_toom_52_scratch_len(xs.len(), ys.len())];
        limbs_mul_greater_to_out_toom_52(&mut out, &xs, &ys, &mut scratch);
        assert_eq!(out, out_after);
    };
    test(
        vec![0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1],
        vec![0, 0, 0, 0, 1, 0],
        vec![10; 20],
        vec![0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0],
    );
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_greater_to_out_toom_52_fail_1() {
    let mut scratch = vec![0; limbs_mul_greater_to_out_toom_52_scratch_len(1, 1)];
    let mut out = vec![10; 4];
    limbs_mul_greater_to_out_toom_52(&mut out, &[6], &[1], &mut scratch);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_greater_to_out_toom_52_fail_2() {
    let mut scratch = vec![0; limbs_mul_greater_to_out_toom_52_scratch_len(15, 16)];
    let mut out = vec![10; 9];
    let xs = series(3, 15);
    let ys = series(3, 16);
    limbs_mul_greater_to_out_toom_52(&mut out, &xs, &ys, &mut scratch);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_greater_to_out_toom_52_fail_3() {
    let mut scratch = vec![0; limbs_mul_greater_to_out_toom_52_scratch_len(14, 5)];
    let mut out = vec![10; 6];
    let xs = series(3, 14);
    let ys = series(3, 5);
    limbs_mul_greater_to_out_toom_52(&mut out, &xs, &ys, &mut scratch);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_greater_to_out_toom_52_fail_4() {
    let mut scratch = vec![0; limbs_mul_greater_to_out_toom_52_scratch_len(15, 4)];
    let mut out = vec![10; 7];
    let xs = series(3, 15);
    let ys = series(3, 4);
    limbs_mul_greater_to_out_toom_52(&mut out, &xs, &ys, &mut scratch);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_greater_to_out_toom_52_fail_5() {
    let mut scratch = vec![0; limbs_mul_greater_to_out_toom_52_scratch_len(11, 0)];
    let mut out = vec![10; 12];
    let xs = series(3, 11);
    limbs_mul_greater_to_out_toom_52(&mut out, &xs, &[], &mut scratch);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
fn test_limbs_mul_greater_to_out_toom_53() {
    let test = |xs: Vec<Limb>, ys: Vec<Limb>, out_before: Vec<Limb>, out_after| {
        let mut out = out_before.to_vec();
        limbs_mul_greater_to_out_basecase(&mut out, &xs, &ys);
        assert_eq!(out, out_after);
        let mut out = out_before.to_vec();
        let mut scratch = vec![0; limbs_mul_greater_to_out_toom_53_scratch_len(xs.len(), ys.len())];
        limbs_mul_greater_to_out_toom_53(&mut out, &xs, &ys, &mut scratch);
        assert_eq!(out, out_after);
    };
    // !(*bs1last == 0 && limbs_cmp_same_length(bs1init, ys_1) == Ordering::Less)
    // limbs_cmp_same_length(bs2, &out[..n + 1]) != Ordering::Less
    // *asm1last != 1 && *asm1last != 2
    // *as1last == 0
    test(
        series(2, 5),
        series(3, 3),
        vec![10; 8],
        vec![6, 17, 34, 46, 58, 49, 30, 0],
    );
    // *bs1last == 0 && limbs_cmp_same_length(bs1init, ys_1) == Ordering::Less
    // *as1last == 2
    // *bs1last == 1
    test(
        vec![611094747, 2426195984, 3948451542, 3575143460, 2163084716],
        vec![1043494367, 2432724646, 1148376235],
        vec![10; 8],
        vec![
            2911651269, 2135822080, 566305911, 1285474929, 3971527858, 1120629777, 2330897846,
            578359487,
        ],
    );
    // *as1last == 1
    test(
        vec![83336617, 52963853, 1461131367, 615175494, 2376138249],
        vec![1085015601, 823246134, 3222784883],
        vec![10; 8],
        vec![
            4003668825, 3129188105, 1975732797, 2019047981, 943873016, 1483316813, 305883771,
            1782966412,
        ],
    );
    // limbs_cmp_same_length(bs2, &out[..n + 1]) == Ordering::Less
    // *as1last > 2
    test(
        vec![
            3853679659, 4236745288, 2469732913, 4265854402, 4207372271, 1754370134, 137881047,
            1325109821, 2212043812, 3074170203,
        ],
        vec![1666773246, 4177391250, 4175984066, 2859904653, 3320165100, 314964734],
        vec![10; 16],
        vec![
            2336719530, 919351696, 4142757378, 49781824, 1315087108, 2534950116, 2674417418,
            1178559126, 171926136, 3132896187, 2074730624, 3561766617, 1155879861, 3985534229,
            380101898, 225439482,
        ],
    );
    // *asm1last == 1
    test(
        vec![4171807709, 1363035595, 2692148345, 3728232161, 2672522097],
        vec![178202067, 736149219, 623937260],
        vec![10; 8],
        vec![
            2793195559, 2168235304, 1582195836, 18437203, 671570200, 635034059, 2378259056,
            388241865,
        ],
    );
    // *bs1last == 2
    test(
        vec![361692441, 3665267779, 1770324312, 1221560416, 2810295690],
        vec![1887715703, 4035171395, 2815003797],
        vec![10; 8],
        vec![
            3298754463, 2516900264, 30373680, 909364693, 729609199, 3973437903, 3392713387,
            1841921601,
        ],
    );
    // *bsm1last != 0
    test(
        vec![1542637461, 595638956, 1883922642, 2681579369, 2641006916],
        vec![3723002977, 116606811, 2193352864],
        vec![10; 8],
        vec![
            2246996853, 3232877055, 2347711939, 2476049074, 4132376421, 3855440382, 4040315714,
            1348708775,
        ],
    );
    // *asm1last == 2
    test(
        vec![4043423637, 312331403, 3088235367, 41162462, 2934893364],
        vec![2702987034, 4184574368, 2455116868],
        vec![10; 8],
        vec![
            2912448546, 2297161059, 137328692, 115875329, 1975003140, 2441893159, 4034859213,
            1677662647,
        ],
    );
    test(
        vec![0x3ffff8, 3221225472, u32::MAX, 1, 4294934528],
        vec![0, 4294959104, u32::MAX],
        vec![10; 8],
        vec![0, 0x10000, 0xfffffff8, 4196343, 3221209088, 0xfffffff, 4294959106, 4294934527],
    );
}

#[cfg(not(feature = "32_bit_limbs"))]
#[test]
fn test_limbs_mul_greater_to_out_toom_53() {
    let test = |xs: Vec<Limb>, ys: Vec<Limb>, out_before: Vec<Limb>, out_after| {
        let mut out = out_before.to_vec();
        limbs_mul_greater_to_out_basecase(&mut out, &xs, &ys);
        assert_eq!(out, out_after);
        let mut out = out_before.to_vec();
        let mut scratch = vec![0; limbs_mul_greater_to_out_toom_53_scratch_len(xs.len(), ys.len())];
        limbs_mul_greater_to_out_toom_53(&mut out, &xs, &ys, &mut scratch);
        assert_eq!(out, out_after);
    };
    test(
        vec![u64::MAX, u64::MAX, 3, u64::MAX - 1, u64::MAX],
        vec![u64::MAX, u64::MAX, u64::MAX],
        vec![10; 8],
        vec![1, 0, 0xfffffffffffffffc, 0, 0, 3, u64::MAX - 1, u64::MAX],
    );
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_greater_to_out_toom_53_fail_1() {
    let mut scratch = vec![0; limbs_mul_greater_to_out_toom_53_scratch_len(1, 1)];
    let mut out = vec![10; 4];
    limbs_mul_greater_to_out_toom_53(&mut out, &[6], &[1], &mut scratch);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_greater_to_out_toom_53_fail_2() {
    let mut scratch = vec![0; limbs_mul_greater_to_out_toom_53_scratch_len(5, 6)];
    let mut out = vec![10; 11];
    let xs = series(3, 5);
    let ys = series(3, 6);
    limbs_mul_greater_to_out_toom_53(&mut out, &xs, &ys, &mut scratch);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_greater_to_out_toom_53_fail_3() {
    let mut scratch = vec![0; limbs_mul_greater_to_out_toom_53_scratch_len(5, 4)];
    let mut out = vec![10; 9];
    let xs = series(3, 5);
    let ys = series(3, 4);
    limbs_mul_greater_to_out_toom_53(&mut out, &xs, &ys, &mut scratch);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_greater_to_out_toom_53_fail_4() {
    let mut scratch = vec![0; limbs_mul_greater_to_out_toom_53_scratch_len(4, 3)];
    let mut out = vec![10; 6];
    let xs = series(3, 4);
    let ys = series(3, 3);
    limbs_mul_greater_to_out_toom_53(&mut out, &xs, &ys, &mut scratch);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_greater_to_out_toom_53_fail_5() {
    let mut scratch = vec![0; limbs_mul_greater_to_out_toom_53_scratch_len(5, 2)];
    let mut out = vec![10; 7];
    let xs = series(3, 5);
    limbs_mul_greater_to_out_toom_53(&mut out, &xs, &[3, 4], &mut scratch);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_greater_to_out_toom_53_fail_6() {
    let mut scratch = vec![0; limbs_mul_greater_to_out_toom_53_scratch_len(5, 0)];
    let mut out = vec![10; 12];
    let xs = series(3, 5);
    limbs_mul_greater_to_out_toom_53(&mut out, &xs, &[], &mut scratch);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
fn test_limbs_mul_greater_to_out_toom_54() {
    let test = |xs: Vec<Limb>, ys: Vec<Limb>, out_before: Vec<Limb>, out_after| {
        let mut out = out_before.to_vec();
        limbs_mul_greater_to_out_basecase(&mut out, &xs, &ys);
        assert_eq!(out, out_after);
        let mut out = out_before.to_vec();
        let mut scratch = vec![0; limbs_mul_greater_to_out_toom_54_scratch_len(xs.len(), ys.len())];
        limbs_mul_greater_to_out_toom_54(&mut out, &xs, &ys, &mut scratch);
        assert_eq!(out, out_after);
    };
    // degree.even() in limbs_mul_toom_evaluate_poly_in_2pow_and_neg_2pow
    // !v_neg_2pow_neg in limbs_mul_toom_evaluate_poly_in_2pow_and_neg_2pow
    // degree.odd() in limbs_mul_toom_evaluate_poly_in_2pow_and_neg_2pow
    // !y_sign in limbs_toom_couple_handling
    // y_shift != 0 in limbs_toom_couple_handling
    // x_shift != 0 in limbs_toom_couple_handling
    // s > t
    // carry_1 && !carry_2, first time, in limbs_mul_toom_interpolate_8points
    // carry_1 && !carry_2, second time, in limbs_mul_toom_interpolate_8points
    // s_plus_t != n in limbs_mul_toom_interpolate_8points
    test(
        series(2, 15),
        series(3, 11),
        vec![10; 26],
        vec![
            6, 17, 34, 58, 90, 131, 182, 244, 318, 405, 506, 594, 682, 770, 858, 895, 912, 908,
            882, 833, 760, 662, 538, 387, 208, 0,
        ],
    );
    // v_neg_2pow_neg in limbs_mul_toom_evaluate_poly_in_2pow_and_neg_2pow
    // y_sign in limbs_toom_couple_handling
    // s <= t
    test(
        vec![0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1],
        vec![0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1],
        vec![10; 26],
        vec![0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0],
    );
    // !carry_1 && carry_2, first time, in limbs_mul_toom_interpolate_8points
    test(
        vec![
            281500646, 1572406350, 108746052, 4056047843, 89307364, 1006007374, 2902260577,
            1250995384, 1556873818, 3846421711, 280743259, 1728158805, 467926284, 2330565417,
        ],
        vec![
            1365578038, 3224231142, 4103857906, 475734936, 3828952167, 3071966456, 1450111251,
            1166414077, 2218130537, 3324650407, 1559641024, 2423373264,
        ],
        vec![10; 26],
        vec![
            3471157380, 2179990259, 735116018, 3928626279, 2606792426, 4065628313, 3326106964,
            1358767242, 58836620, 2388814047, 1881937395, 448453590, 699295041, 2539838591,
            1014080982, 2627397171, 1231543630, 2956184941, 1108982880, 2083442227, 1445361702,
            3773463966, 3902311612, 4169089467, 614631841, 1314987876,
        ],
    );
    // s_plus_t == n in limbs_mul_toom_interpolate_8points
    test(
        vec![
            1372428912, 2999825770, 3824933735, 1252466299, 1644332514, 577056155, 267504800,
            2188417248, 1146838357, 1601878440, 2555350187, 2326995902, 341200833, 3311243465,
            3983323172, 1591023018, 498264278, 879686658, 2445286712, 3168806215, 3363960673,
            1002293448,
        ],
        vec![
            4155394173, 3251572031, 3012777338, 1405107169, 4263655764, 202386116, 2762119705,
            1046271690, 3730474184, 1761497041, 3530189728, 452831577, 2351117985, 3074633806,
            2337874996, 2372535352, 1907593160, 2034262144,
        ],
        vec![10; 40],
        vec![
            3438536880, 4020840252, 3753658662, 2750457729, 3984463794, 1677702279, 3627178035,
            1938289829, 2347934241, 1059164524, 3077109858, 1455283397, 4245424824, 2265496611,
            2507273589, 4106853892, 187386657, 3541881161, 3520589236, 977961476, 205850208,
            3040196950, 1303835716, 3039701923, 525989195, 1042461957, 4189151284, 3358396344,
            275215531, 2907721257, 3086020483, 2914223316, 652103889, 2430562590, 4256409533,
            774831877, 3808631269, 3720895601, 1034939105, 474724830,
        ],
    );
    // !carry_1 && carry_2, second time, in limbs_mul_toom_interpolate_8points
    test(
        vec![0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0xfffffff0, u32::MAX, u32::MAX, u32::MAX],
        vec![
            2047,
            0,
            0,
            4294966784,
            u32::MAX,
            127,
            0,
            4286578688,
            u32::MAX,
            0x3ffff,
            4227858432,
            u32::MAX,
        ],
        vec![10; 26],
        vec![
            0,
            0,
            0,
            0,
            0,
            0,
            0,
            0,
            0,
            0,
            4294934544,
            u32::MAX,
            u32::MAX,
            8191,
            2047,
            4294965248,
            u32::MAX,
            134217215,
            0,
            4290773120,
            0x3fffffff,
            4286578688,
            4294967279,
            0x3ffff,
            4227858432,
            u32::MAX,
        ],
    );
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_greater_to_out_toom_54_fail_1() {
    let mut scratch = vec![0; limbs_mul_greater_to_out_toom_54_scratch_len(1, 1)];
    let mut out = vec![10; 4];
    limbs_mul_greater_to_out_toom_54(&mut out, &[6], &[1], &mut scratch);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_greater_to_out_toom_54_fail_2() {
    let mut scratch = vec![0; limbs_mul_greater_to_out_toom_54_scratch_len(15, 16)];
    let mut out = vec![10; 31];
    let xs = series(3, 14);
    let ys = series(3, 17);
    limbs_mul_greater_to_out_toom_54(&mut out, &xs, &ys, &mut scratch);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_greater_to_out_toom_54_fail_3() {
    let mut scratch = vec![0; limbs_mul_greater_to_out_toom_54_scratch_len(15, 10)];
    let mut out = vec![10; 25];
    let xs = series(3, 14);
    let ys = series(3, 10);
    limbs_mul_greater_to_out_toom_54(&mut out, &xs, &ys, &mut scratch);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_greater_to_out_toom_54_fail_4() {
    let mut scratch = vec![0; limbs_mul_greater_to_out_toom_54_scratch_len(14, 11)];
    let mut out = vec![10; 25];
    let xs = series(3, 14);
    let ys = series(3, 11);
    limbs_mul_greater_to_out_toom_54(&mut out, &xs, &ys, &mut scratch);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_greater_to_out_toom_54_fail_5() {
    let mut scratch = vec![0; limbs_mul_greater_to_out_toom_54_scratch_len(15, 11)];
    let mut out = vec![10; 25];
    let xs = series(3, 15);
    let ys = series(3, 11);
    limbs_mul_greater_to_out_toom_54(&mut out, &xs, &ys, &mut scratch);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_greater_to_out_toom_54_fail_6() {
    let mut scratch = vec![0; limbs_mul_greater_to_out_toom_54_scratch_len(15, 0)];
    let mut out = vec![10; 15];
    let xs = series(3, 15);
    limbs_mul_greater_to_out_toom_54(&mut out, &xs, &[], &mut scratch);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
fn test_limbs_mul_greater_to_out_toom_62() {
    let test = |xs: &[Limb], ys: &[Limb], out_before: &[Limb], out_after: &[Limb]| {
        let mut out = out_before.to_vec();
        limbs_mul_greater_to_out_basecase(&mut out, xs, ys);
        assert_eq!(out, out_after);
        let mut out = out_before.to_vec();
        let mut scratch = vec![0; limbs_mul_greater_to_out_toom_62_scratch_len(xs.len(), ys.len())];
        limbs_mul_greater_to_out_toom_62(&mut out, xs, ys, &mut scratch);
        assert_eq!(out, out_after);
    };
    // degree.odd() in limbs_mul_toom_evaluate_poly_in_1and_neg_1
    // degree > 4 in limbs_mul_toom_evaluate_poly_in_1and_neg_1
    // degree_u >= 5 in limbs_mul_toom_evaluate_poly_in_2and_neg_2
    // degree.odd() in limbs_mul_toom_evaluate_poly_in_2and_neg_2
    // t == n
    // limbs_cmp_same_length(ys_0, ys_1) == Ordering::Less
    // v_neg_1_neg_b
    // *as1last == 0
    test(
        &series(2, 6),
        &[3, 4],
        &[10; 8],
        &[6, 17, 24, 31, 38, 45, 28, 0],
    );
    // limbs_cmp_same_length(ys_0, ys_1) != Ordering::Less
    // !v_neg_1_neg_b
    // t >= n
    // limbs_cmp_same_length(&bsm1, ys_1) == Ordering::Less
    test(
        &[0, 0, 0, 0, 0, 1],
        &[1, 1],
        &[10; 8],
        &[0, 0, 0, 0, 0, 1, 1, 0],
    );
    // limbs_cmp_same_length(&bsm1, ys_1) != Ordering::Less
    test(
        &[0, 0, 0, 0, 0, 1],
        &[2, 1],
        &[10; 8],
        &[0, 0, 0, 0, 0, 2, 1, 0],
    );
    // t != n
    // !(slice_test_zero(&ys_0[t..]) && limbs_cmp_same_length(&ys_0[..t], ys_1) == Ordering::Less)
    // t < n
    // !(slice_test_zero(&bsm1[t..]) && limbs_cmp_same_length(&bsm1[..t], ys_1) == Ordering::Less)
    // *as1last == 2
    test(
        &[
            2291585918, 1380546066, 1861205162, 1395600128, 1509813785, 1715266614, 3251195596,
            3140058077, 1998653517, 3140019184, 2534426976,
        ],
        &[2477133296, 625749873, 3687467688],
        &[10; 14],
        &[
            869772320, 253774892, 3270059412, 1629301906, 333315526, 1485838973, 1182872659,
            3973435471, 3570040059, 138616924, 3845622124, 4243476600, 2488800838, 2175946157,
        ],
    );
    // *as1last > 2
    test(
        &[706760835, 4153647095, 3843998199, 2077172825, 1158686949, 3157624247],
        &[708497006, 797041707],
        &[10; 8],
        &[
            3596223050, 1899342498, 3768933007, 59388593, 2997914214, 150267535, 1848145862,
            585978436,
        ],
    );
    // *as1last == 1
    test(
        &[
            1817453168, 96871997, 3927306877, 3090061646, 3474317652, 437148773, 439538568,
            324686794, 772632617, 1424328970, 580538580,
        ],
        &[4158498322, 3126677346, 655989538],
        &[10; 14],
        &[
            4142861280, 2093741387, 1223409636, 3430701278, 154561385, 1065478559, 1434432315,
            1709306376, 2647162930, 2288715437, 510829208, 3519993529, 1581992297, 88668250,
        ],
    );
    // *bs1last != 0
    test(
        &[478149678, 4026802122, 1384639138, 368837837, 183900171, 785221208],
        &[1458158767, 4167624669],
        &[10; 8],
        &[
            1921854322, 141249793, 673006993, 2183916852, 295623924, 3471440317, 3387755993,
            761939975,
        ],
    );
    // *asm1last == 1
    test(
        &[760464004, 3698115579, 1282981837, 2124133062, 1943175022, 3815903204],
        &[2302225798, 423133196],
        &[10; 8],
        &[
            1718420760, 4288660832, 1043184986, 2518603664, 1668853787, 1047988481, 4101944437,
            375936580,
        ],
    );
    // *asm1last == 2
    test(
        &[
            486320673, 3488920730, 3556919186, 380261964, 1609664786, 3382076763, 3478178414,
            1464325754, 2543330707, 3900552438, 1432199477,
        ],
        &[1190326122, 1081384689, 2610845505, 3919894794],
        &[10; 15],
        &[
            3164946602, 4284198222, 380177155, 837655879, 3034889727, 3503063664, 3315274214,
            3998279880, 2501466635, 3524441, 312561544, 2480833439, 3092764257, 1045878247,
            1307127829,
        ],
    );
    // slice_test_zero(&ys_0[t..]) && limbs_cmp_same_length(&ys_0[..t], ys_1) == Ordering::Less
    test(
        &rle_decode(&[(u32::MAX, 17), (31, 1), (0, 5), (4294967232, 1), (u32::MAX, 12)]),
        &[u32::MAX, 63, 0, 0, 0, 0, 4227858432, u32::MAX, u32::MAX, u32::MAX, u32::MAX],
        &[10; 47],
        &[
            1,
            4294967232,
            u32::MAX,
            u32::MAX,
            u32::MAX,
            u32::MAX,
            0x3ffffff,
            0,
            0,
            0,
            0,
            u32::MAX,
            u32::MAX,
            u32::MAX,
            u32::MAX,
            u32::MAX,
            u32::MAX,
            4294967263,
            2047,
            0,
            0,
            0,
            0,
            2147483712,
            4294963199,
            u32::MAX,
            u32::MAX,
            u32::MAX,
            31,
            0,
            1,
            0,
            0,
            0,
            4294967232,
            u32::MAX,
            u32::MAX - 1,
            63,
            0,
            0,
            0,
            0,
            4227858432,
            u32::MAX,
            u32::MAX,
            u32::MAX,
            u32::MAX,
        ],
    );
    // slice_test_zero(&bsm1[t..]) && limbs_cmp_same_length(&bsm1[..t], ys_1) == Ordering::Less
    test(
        &rle_decode(&[(1073741823, 1), (0, 7), (4290772992, 1), (u32::MAX, 8)]),
        &[0xfff00000, u32::MAX, 0, 0xffffff8, 4294443008],
        &[10; 22],
        &[
            0x100000,
            4294705152,
            0x3ffffffe,
            4026531848,
            67633149,
            1073610751,
            0,
            0,
            0,
            1024,
            4290772992,
            0x1ffffff,
            4294705152,
            4290773503,
            u32::MAX,
            u32::MAX,
            u32::MAX,
            4293918719,
            u32::MAX,
            0,
            0xffffff8,
            4294443008,
        ],
    );
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_greater_to_out_toom_62_fail_1() {
    let mut scratch = vec![0; limbs_mul_greater_to_out_toom_62_scratch_len(1, 1)];
    let mut out = vec![10; 4];
    limbs_mul_greater_to_out_toom_62(&mut out, &[6], &[1], &mut scratch);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_greater_to_out_toom_62_fail_2() {
    let mut scratch = vec![0; limbs_mul_greater_to_out_toom_62_scratch_len(6, 7)];
    let mut out = vec![10; 13];
    let xs = series(3, 6);
    let ys = series(3, 7);
    limbs_mul_greater_to_out_toom_62(&mut out, &xs, &ys, &mut scratch);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_greater_to_out_toom_62_fail_3() {
    let mut scratch = vec![0; limbs_mul_greater_to_out_toom_62_scratch_len(6, 1)];
    let mut out = vec![10; 7];
    let xs = series(3, 6);
    limbs_mul_greater_to_out_toom_62(&mut out, &xs, &[3], &mut scratch);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_greater_to_out_toom_62_fail_4() {
    let mut scratch = vec![0; limbs_mul_greater_to_out_toom_62_scratch_len(5, 2)];
    let mut out = vec![10; 7];
    let xs = series(3, 5);
    limbs_mul_greater_to_out_toom_62(&mut out, &xs, &[3, 4], &mut scratch);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_greater_to_out_toom_62_fail_5() {
    let mut scratch = vec![0; limbs_mul_greater_to_out_toom_62_scratch_len(6, 2)];
    let mut out = vec![10; 7];
    let xs = series(3, 6);
    limbs_mul_greater_to_out_toom_62(&mut out, &xs, &[3, 4], &mut scratch);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_greater_to_out_toom_62_fail_6() {
    let mut scratch = vec![0; limbs_mul_greater_to_out_toom_62_scratch_len(6, 0)];
    let mut out = vec![10; 6];
    let xs = series(3, 6);
    limbs_mul_greater_to_out_toom_62(&mut out, &xs, &[], &mut scratch);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
fn test_limbs_mul_greater_to_out_toom_63() {
    let test = |xs: Vec<Limb>, ys: Vec<Limb>, out_before: Vec<Limb>, out_after| {
        let mut out = out_before.to_vec();
        limbs_mul_greater_to_out_basecase(&mut out, &xs, &ys);
        assert_eq!(out, out_after);
        let mut out = out_before.to_vec();
        let mut scratch = vec![0; limbs_mul_greater_to_out_toom_63_scratch_len(xs.len(), ys.len())];
        limbs_mul_greater_to_out_toom_63(&mut out, &xs, &ys, &mut scratch);
        assert_eq!(out, out_after);
    };
    // n == t
    // !(!carry && limbs_cmp_same_length(scratch2lo, ys_1) == Ordering::Less)
    // s <= t
    test(
        series(2, 17),
        series(3, 9),
        vec![10; 26],
        vec![
            6, 17, 34, 58, 90, 131, 182, 244, 318, 381, 444, 507, 570, 633, 696, 759, 822, 828,
            812, 773, 710, 622, 508, 367, 198, 0,
        ],
    );
    // n != t
    test(
        vec![
            3047748962, 2284186344, 3132866461, 2331447040, 1003213663, 1873981685, 3371337621,
            3796896013, 4144448610, 2569252563, 2859304641, 1027973602, 3158196152, 4058699545,
            2002924383, 3295505824, 695758308, 544681384, 3452307839, 1190734708, 4232023153,
            451772934, 673919865, 2022672425, 3493426012, 1142609332, 477542383, 1304798841,
            461115870, 3268103575, 2243523508,
        ],
        vec![
            3987208830, 1336657961, 2605546090, 1112778759, 2243645577, 3695113963, 637209276,
            527642657, 1586863943, 2178788843, 4128924923, 574016400, 118333022, 3019059425,
            3734056582, 3974475640, 958936732,
        ],
        vec![10; 48],
        vec![
            901282364, 4131825926, 550521101, 4239081984, 354957348, 2987335611, 2947836402,
            1594339509, 1900787939, 3942224706, 1915750189, 2686147736, 455238733, 595779993,
            992449470, 225135268, 4216025815, 112446550, 2736130746, 1015352940, 1166343395,
            3559470539, 2787138552, 3128535813, 2203140859, 3479459112, 599923700, 684443693,
            1557326194, 1699057519, 2198150417, 2196463130, 1973109458, 3642841764, 426750624,
            1438683694, 42406461, 1444651840, 2152704621, 722727455, 3882030279, 205951250,
            838845869, 2997862064, 779154540, 1753953589, 1791445120, 500911172,
        ],
    );
    test(
        vec![
            2547108010, 2828666778, 3252702258, 3885923576, 2331974758, 730724707, 1528859315,
            4288784328, 3677151116, 445199233, 3304488688, 3566979465, 3541025426, 2491779846,
            3112990742, 2583249486, 3403111749, 1930721237, 3428792463, 2896462048, 2985885576,
            1819460734, 21206096, 3560441846, 987100555, 2844904275, 84854892, 1268249628,
            3963306788, 3338670067, 2504599089, 65588657, 321493327, 4249673617, 4150876068,
            721566898,
        ],
        vec![
            2339094549, 568841948, 757218994, 54206328, 2888117240, 1758638903, 3215886938,
            2041086168, 259363425, 3740850804, 3272104239, 3101597497, 4170226346, 1487680512,
            2997309052, 1761169487, 680164259, 104354801, 3642294827, 2001649447,
        ],
        vec![10; 56],
        vec![
            4156749298, 1238334534, 3541686335, 400023669, 3354392679, 146448234, 338562445,
            2541647274, 3476105410, 3869729511, 2592129633, 1524174755, 2864342013, 3189404137,
            2408966423, 1748955694, 848863232, 2061232865, 2863992687, 1780371599, 1814973544,
            4129152748, 1067034680, 3960771432, 1978132071, 249147649, 4113633238, 3331366833,
            103867284, 4274561406, 24372440, 1874890180, 2262704206, 4185039557, 1493676561,
            3605651563, 184712156, 1714079946, 3695806969, 3114374817, 2698021971, 2617815992,
            3374318018, 2710182754, 2217042831, 3166354273, 3526471084, 2282901181, 17853137,
            2805842653, 2980411632, 2879849003, 22987084, 2408312078, 212023482, 336282883,
        ],
    );
    // !carry && limbs_cmp_same_length(scratch2lo, ys_1) == Ordering::Less
    // s > t
    test(
        vec![
            275320572, 2678313698, 1997150503, 1718206458, 3389415001, 1347098060, 423205500,
            1228674579, 1683636524, 1761485682, 3886555164, 1343770739, 3728441996, 3386212640,
            4218849286, 3154177905, 383775865, 685210915, 2915358388, 356527607, 1399377005,
            2203631586, 3950305635, 4107289625,
        ],
        vec![
            343872945, 2028904125, 1525417887, 867188532, 3911999830, 2139706847, 3256484706,
            961423019, 1530068826, 3577946967,
        ],
        vec![10; 34],
        vec![
            367134780, 454511356, 740068730, 2466817027, 444007987, 2116910983, 3588258390,
            4148666142, 241899205, 3037479671, 967522541, 1695514557, 3417684811, 1755587152,
            57889847, 1893598444, 894827452, 1259092281, 343759711, 417669929, 4250137916,
            2931151486, 4137704826, 1616987343, 118402896, 3476900958, 3144858924, 799089809,
            2899882887, 413231425, 2515242049, 142267098, 1727945779, 3421601015,
        ],
    );
}

#[cfg(not(feature = "32_bit_limbs"))]
#[test]
fn test_limbs_mul_greater_to_out_toom_63() {
    let test = |xs: Vec<Limb>, ys: Vec<Limb>, out_before: Vec<Limb>, out_after| {
        let mut out = out_before.to_vec();
        limbs_mul_greater_to_out_basecase(&mut out, &xs, &ys);
        assert_eq!(out, out_after);
        let mut out = out_before.to_vec();
        let mut scratch = vec![0; limbs_mul_greater_to_out_toom_63_scratch_len(xs.len(), ys.len())];
        limbs_mul_greater_to_out_toom_63(&mut out, &xs, &ys, &mut scratch);
        assert_eq!(out, out_after);
    };
    test(
        vec![
            6746486103788831552,
            2922469023463657485,
            7190781201699911122,
            6369274278675525514,
            11602031538822447399,
            18146097755068799938,
            10715195159596301824,
            1582667531232164822,
            17310503547119278200,
            11108448614311336701,
            16131384432757080248,
            10724146198461527790,
            17486718158725257827,
            6011711000953739951,
            12044019786490872751,
            12126819472937875768,
            11736689834584491812,
            2624631955548590096,
        ],
        vec![
            8718882040837103283,
            12513261442998616191,
            3363599670593686195,
            2576001491054566526,
            8476413363242630098,
            11800520882738943180,
            15256756628116724015,
            15102633230716809194,
            4752404995807312312,
        ],
        vec![10; 27],
        vec![
            11055708298853713344,
            11718134630995530406,
            1540454672309197922,
            2461234873920328802,
            12156343925049526190,
            7669775936281025739,
            5569544286309952271,
            1251802631971472159,
            7852335389754101252,
            16331287242162052217,
            16922468211499817236,
            1090055930057904858,
            4774304109866833132,
            2115064630415334045,
            3041714142401192073,
            5249251501654981623,
            6324653539847586925,
            7895228639492924348,
            13455067205957702368,
            1142009976612635724,
            13095096323291438869,
            4348574203955863428,
            8491467291307697179,
            3535832683825156722,
            3832291870552829557,
            16965222076837711040,
            676179707804463061,
        ],
    );
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_greater_to_out_toom_63_fail_1() {
    let mut scratch = vec![0; limbs_mul_greater_to_out_toom_63_scratch_len(1, 1)];
    let mut out = vec![10; 4];
    limbs_mul_greater_to_out_toom_63(&mut out, &[6], &[1], &mut scratch);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_greater_to_out_toom_63_fail_2() {
    let mut scratch = vec![0; limbs_mul_greater_to_out_toom_63_scratch_len(17, 18)];
    let mut out = vec![10; 13];
    let xs = series(3, 17);
    let ys = series(3, 18);
    limbs_mul_greater_to_out_toom_63(&mut out, &xs, &ys, &mut scratch);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_greater_to_out_toom_63_fail_3() {
    let mut scratch = vec![0; limbs_mul_greater_to_out_toom_63_scratch_len(17, 8)];
    let mut out = vec![10; 25];
    let xs = series(3, 17);
    let ys = series(3, 8);
    limbs_mul_greater_to_out_toom_63(&mut out, &xs, &ys, &mut scratch);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_greater_to_out_toom_63_fail_4() {
    let mut scratch = vec![0; limbs_mul_greater_to_out_toom_63_scratch_len(16, 9)];
    let mut out = vec![10; 25];
    let xs = series(3, 17);
    let ys = series(3, 9);
    limbs_mul_greater_to_out_toom_63(&mut out, &xs, &ys, &mut scratch);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_greater_to_out_toom_63_fail_5() {
    let mut scratch = vec![0; limbs_mul_greater_to_out_toom_63_scratch_len(17, 9)];
    let mut out = vec![10; 25];
    let xs = series(3, 17);
    let ys = series(3, 9);
    limbs_mul_greater_to_out_toom_63(&mut out, &xs, &ys, &mut scratch);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_greater_to_out_toom_63_fail_6() {
    let mut scratch = vec![0; limbs_mul_greater_to_out_toom_63_scratch_len(17, 0)];
    let mut out = vec![10; 6];
    let xs = series(3, 17);
    limbs_mul_greater_to_out_toom_63(&mut out, &xs, &[], &mut scratch);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
fn test_limbs_mul_greater_to_out_toom_6h() {
    let test = |xs: Vec<Limb>, ys: Vec<Limb>, out_before: Vec<Limb>| {
        let mut out = out_before.to_vec();
        limbs_mul_greater_to_out_basecase(&mut out, &xs, &ys);
        let out_after = out;
        let mut out = out_before.to_vec();
        let mut scratch = vec![0; limbs_mul_greater_to_out_toom_6h_scratch_len(xs.len(), ys.len())];
        limbs_mul_greater_to_out_toom_6h(&mut out, &xs, &ys, &mut scratch);
        assert_eq!(out, out_after);
    };
    // xs_len * LIMIT_DENOMINATOR < LIMIT_NUMERATOR * ys_len
    // degree.odd() in limbs_mul_toom_evaluate_poly_in_2pow_neg_and_neg_2pow_neg
    // degree > 3 in limbs_mul_toom_evaluate_poly_in_2pow_neg_and_neg_2pow_neg
    // !neg in limbs_mul_toom_evaluate_poly_in_2pow_neg_and_neg_2pow_neg
    // q != 3
    // !half in limbs_mul_toom_interpolate_12points
    test(series(2, 42), series(3, 42), vec![10; 84]);
    test(vec![0; 43], vec![0; 42], vec![10; 85]);
    let xs = vec![
        0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
        0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1,
    ];
    let ys = vec![
        0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
        0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1,
    ];
    let out_len = xs.len() + ys.len();
    // v_2pow_neg_neg in limbs_mul_toom_evaluate_poly_in_2pow_neg_and_neg_2pow_neg
    test(xs, ys, vec![10; out_len]);
    let xs = vec![
        2176876728, 2496909862, 111654638, 4071443844, 1244732003, 1399710541, 3492272815,
        2804216879, 294683567, 2823495183, 1539340600, 2732661048, 2371405604, 611094747,
        2426195984, 3948451542, 3575143460, 2163084716, 2877537071, 1849282685, 1662381818,
        2022577840, 552741512, 1863034519, 2109621858, 3426780715, 233006082, 2766239663,
        1257764921, 1179443268, 3311729910, 4228711990, 3676801557, 83336617, 52963853, 1461131367,
        615175494, 2376138249, 1373985035, 3055102427, 1823691121, 175073115, 3051957217,
    ];
    let ys = vec![
        344785207, 1075768263, 3315797254, 2656376324, 160336834, 3872758991, 671370872,
        1253701757, 217686653, 4064957864, 1185854346, 2308111201, 847669579, 195002426,
        1955159211, 2003106801, 1041767923, 3605273739, 3153084777, 2806535311, 1401436525,
        1148858479, 958627821, 1267879008, 4138398998, 1028065582, 3914213477, 3370118288,
        4054975453, 1815994585, 2486521917, 995353494, 16609723, 4010498224, 1214270934, 797624362,
        4000265982, 1287753121, 874311717, 2200865401, 21122981, 1507911002,
    ];
    let out_len = xs.len() + ys.len();
    // r4last.leading_zeros() < 3 in limbs_mul_toom_interpolate_12points
    test(xs, ys, vec![10; out_len]);
    let xs = vec![
        2327202328, 3179332026, 2188958336, 2717879675, 130062885, 140536268, 2499125438,
        3163111280, 4259661702, 2176278885, 422519228, 2482586299, 2904549185, 656169575,
        2052350629, 1346745024, 2132509288, 3672720658, 1036389958, 1864007789, 4247227128,
        3920036168, 1436562554, 4261984498, 3509215437, 583752676, 3145348403, 2267709494,
        2846186667, 95392897, 3743233716, 2210401890, 333864866, 4114644153, 3030283850,
        2885600773, 209380485, 753945396, 719327396, 1293498320, 881901364, 2799735404, 3880748109,
        2227099476, 2045911493, 279042015, 1825819541, 1783146691, 2256898093, 2186071881,
    ];
    let ys = vec![
        4062960470, 3852836537, 2696572187, 2332897564, 3819654112, 1805852435, 2339319161,
        3891614436, 3143079880, 3244604349, 2122448594, 1926396564, 3938383812, 51745369,
        2731805677, 4257919711, 2550692774, 4079294279, 223709465, 1648526554, 689775843,
        3524108772, 1404538310, 806199241, 4278266886, 2467028886, 3773289773, 3246095241,
        2201055218, 2036154035, 3144210007, 423367788, 3883829868, 2190252193, 2069131777,
        3027047320, 1576225469, 3459606326, 2343356582, 2658410138, 1927376994, 3129832669,
        3772482523,
    ];
    let out_len = xs.len() + ys.len();
    // xs_len * LIMIT_DENOMINATOR >= LIMIT_NUMERATOR * ys_len
    // xs_len * 5 * LIMIT_NUMERATOR < LIMIT_DENOMINATOR * 7 * ys_len
    // half
    // degree.even() in limbs_mul_toom_evaluate_poly_in_2pow_neg_and_neg_2pow_neg
    // degree > 5 in limbs_mul_toom_evaluate_poly_in_1and_neg_1
    // s <= t
    // half in limbs_mul_toom_interpolate_12points
    test(xs, ys, vec![10; out_len]);
    let xs = vec![
        1940830933, 3780770129, 1587254032, 832573251, 1504418072, 4247592896, 317874907,
        949850421, 2252881736, 3574316069, 3062236166, 1396410954, 3249498785, 3495392204,
        540855070, 1908700137, 1469179505, 4199276220, 953657385, 3056452157, 2141569526,
        2342475731, 3746376146, 3271677606, 2770490239, 2212992129, 1758619376, 1446549455,
        409094501, 767129031, 3284625381, 1887741449, 1134874072, 2988924415, 1641550007,
        856704035, 80648349, 1467185629, 2753807208, 1609415681, 4087676277, 3276525355,
        1530490532, 3475014952, 1971819359, 2190766950, 2667577576, 2404497182, 4128259693,
        2449514447, 4199089872, 2205116036, 4089987616, 457231895, 2931469481, 3147651033,
        2352907189,
    ];
    let ys = vec![
        3461606200, 1584050797, 14355481, 3385840230, 1703326352, 1625259628, 3642322228,
        911402341, 2158835226, 939248485, 3607511108, 2863853568, 1611642161, 1312857772,
        1839433327, 567060478, 3139863681, 3642698184, 3744632443, 712538472, 2692932947,
        576185818, 156934113, 518107105, 2803035863, 2284220097, 3447382922, 2400125006,
        3565062840, 160044186, 3644393084, 4196433258, 3391883838, 1115703759, 2380388002,
        962895870, 4001772616, 2311278419, 2620271020, 3047789793, 3229254302, 3182628087,
        2718480927, 2872538422,
    ];
    let out_len = xs.len() + ys.len();
    // t < 1
    test(xs, ys, vec![10; out_len]);
    let xs = vec![
        3796896013, 4144448610, 2569252563, 2859304641, 1027973602, 3158196152, 4058699545,
        2002924383, 3295505824, 695758308, 544681384, 3452307839, 1190734708, 4232023153,
        451772934, 673919865, 2022672425, 3493426012, 1142609332, 477542383, 1304798841, 461115870,
        3268103575, 2243523508, 606810814, 4235312469, 1885993181, 114475077, 757688489,
        1965769398, 260629125, 2265559181, 2568323569, 4202738507, 422918034, 1258453131,
        3552221985, 1666914845, 4063631552, 1893061685, 1362616670, 3828572660, 3003680479,
        119501228, 2101943449, 1119123129, 2512417484,
    ];
    let ys = vec![
        610160726, 3751120540, 2655318738, 2490069121, 732352936, 1985503906, 765573690,
        2709177647, 3058016350, 1432725430, 2213840145, 1911049343, 3116245242, 519557432,
        1828983405, 3092431113, 3844759473, 547304293, 1609305183, 1824076406, 2409386071,
        2970173039, 4255413180, 894750419, 90356879, 2880999631, 2157180976, 2261258057, 715581698,
        332174009, 27958638, 2464799420, 3232925197, 1952944696, 915312443, 1464711675, 4079172443,
        2445511584, 2092009263, 3412361485, 2354390078, 3106038172, 3481973486,
    ];
    let out_len = xs.len() + ys.len();
    // s < 1
    test(xs, ys, vec![10; out_len]);
    let xs = vec![
        2187046946, 3600373521, 4275090943, 2120016813, 4177241875, 3185774231, 2397692077,
        1015362399, 2178889151, 3433916223, 1688082118, 1971242178, 236388706, 3802829765,
        521309115, 2299816689, 3207614143, 1053195464, 3584561145, 1178690670, 2940812254,
        3321982035, 2754825123, 3073598062, 202404806, 547895545, 1188944547, 1056841779,
        529463805, 204665384, 850370055, 2063320161, 3724100092, 1180272690, 1398467003,
        2814052449, 1311768018, 659771105, 3226477227, 4230080238, 2134344405, 1461172705,
        2728018383, 1816821358, 3231137250, 2012377728, 2206916761, 3121807673,
    ];
    let ys = vec![
        1717557648, 1819215517, 3449795284, 844168976, 1574237607, 758725457, 762624299, 533122182,
        1201164787, 1968174784, 896982568, 3419630169, 2247559545, 3983311870, 3975342941,
        1112833399, 2721518545, 2493587613, 3444837338, 3313000598, 751186769, 2970698395,
        915811688, 1206259449, 1340427760, 3844346545, 3762393860, 543253569, 1197933603,
        3734607133, 4037352821, 2263945478, 2831362781, 3363558852, 476952769, 1916745391,
        208671986, 2395250976, 1549715018, 2746690542, 1219103496, 256305249,
    ];
    let out_len = xs.len() + ys.len();
    // s_plus_t > n in limbs_mul_toom_interpolate_12points
    test(xs, ys, vec![10; out_len]);
    let xs = vec![
        1976230069, 2821313230, 4002048052, 2248747478, 1208640865, 1469538686, 2438066233,
        1106183979, 1877645648, 2583513281, 904899723, 1001323826, 3134049747, 292171929,
        1479818350, 821125410, 2017124898, 3447449059, 2073983663, 1214861045, 3270809855,
        2826108666, 412311360, 3687943078, 157663911, 447468817, 1727023746, 1120132848, 462566659,
        21711861, 2204912119, 631663514, 2655508903, 2912870262, 1326931248, 1409724492,
        3912444286, 1986726296, 190162730, 675575771, 234714100, 3787240294, 3149710501,
        1950469069, 1222949463, 218525862, 929916299, 1757577031, 3896857869, 443052809,
        4256330379, 1106528307, 2502814887, 108409846,
    ];
    let ys = vec![
        3774873792, 2622161570, 566787739, 1447674683, 1128900692, 2570098345, 3920242059,
        2431899603, 1456341665, 269610676, 673205188, 3712878022, 3795578329, 996518376,
        3414916195, 4167667588, 4013410429, 724257700, 698186720, 1170923258, 3652768880,
        1373260172, 3271469225, 971070649, 1556038273, 2204702414, 673789949, 3790414001,
        1550521405, 2173912108, 70968354, 1856452807, 2648613270, 2751500372, 1057118618,
        3117394831, 4409774, 2422780755, 3367234488, 1080583495, 29356841, 3627216363,
    ];
    let out_len = xs.len() + ys.len();
    // s > t
    test(xs, ys, vec![10; out_len]);
    let xs = vec![
        2764481948, 3824853452, 3714446166, 1652416239, 2448871004, 3349954116, 2715554665,
        2953094534, 2191528165, 1105735060, 407641991, 1058849514, 2583237649, 3635224830,
        1509496009, 2360185935, 2419261549, 2433663350, 262632960, 3504095388, 2570319009,
        2415092334, 72373859, 3953007752, 3259518037, 3401184350, 574975346, 1921349734,
        1293058836, 2824387015, 670301824, 3449438821, 3149566748, 2370941125, 3445476733,
        1172535390, 684380840, 4007537582, 3019960994, 3833788436, 2407231528, 532343833,
        438092212, 830534904, 325324494, 1629611634, 3991887007, 1617691624, 3806774950,
        2737609900, 4123817599, 1139254855, 4270594452, 3772632696, 357643096, 978439292,
        3535266500, 1036728326, 408519941, 386395864, 986295007,
    ];
    let ys = vec![
        2893157767, 2933782072, 1630695663, 765017133, 148924741, 3933388144, 2827967305,
        1580462312, 4233997190, 2184167709, 1124313531, 1269787970, 2637050113, 1899399034,
        458443927, 676372848, 3341236235, 2358837775, 78253712, 1308766267, 1398616295, 442007911,
        3803960772, 2890078708, 2362278228, 452577827, 2295445770, 1281833658, 3733263779,
        3192119570, 1465309963, 4149236735, 2550067398, 3391554453, 3763654782, 280954439,
        4216404337, 2988297132, 1171366979, 752568358, 3832355781, 3002295862,
    ];
    let out_len = xs.len() + ys.len();
    // xs_len * 5 * LIMIT_DENOMINATOR < LIMIT_NUMERATOR * 7 * ys_len
    test(xs, ys, vec![10; out_len]);
    let xs = vec![
        1537074800, 903591185, 3505885895, 1600301704, 2247503777, 2456507858, 354178772,
        4264234279, 4276311343, 2137271746, 3095634214, 3503644667, 3271712752, 1235289576,
        3972513632, 4268165027, 3304957815, 2349877036, 1814187379, 1622480961, 1887152020,
        617829740, 2759792107, 2650325546, 3834300382, 1711067002, 16368281, 3248020475,
        1355293366, 2500355734, 3216660200, 2844209744, 919471841, 2536405197, 286948869,
        3207728956, 1786641001, 3909697676, 2990524533, 3373134471, 2770917041, 2941741335,
        2275165617, 610985518, 1663622513, 780492488, 696913656, 1787332447, 1693914179,
        2059746330, 4084862137, 1720114882, 2072770321, 2800094080, 164377327, 114079185,
        1630830573, 866212705, 86571916, 2701570437, 1022361296, 2774191689, 1485998454,
        1449541799,
    ];
    let ys = vec![
        10887125, 840662268, 2350057862, 3489480809, 2643647461, 2120151555, 433525765, 1719122308,
        3784715068, 3156307967, 4113669583, 607844816, 2149779595, 55766995, 3922134877,
        1464452041, 2877070520, 3517698059, 3219767758, 138329276, 1434547315, 1010269423,
        3836852303, 521525549, 1124005096, 128173038, 1627976147, 4217098680, 963901397,
        4003948876, 4078383999, 3163439869, 1376461045, 1260808800, 1583549957, 3016546386,
        601137572, 2476346948, 1057124592, 2232232546, 2939285402, 2703166574, 2566511508,
    ];
    let out_len = xs.len() + ys.len();
    // xs_len * LIMIT_NUMERATOR < LIMIT_DENOMINATOR * 2 * ys_len
    test(xs, ys, vec![10; out_len]);
    let xs = vec![
        2480817744, 2385986715, 908796583, 3725142486, 4259996640, 2324291843, 2514777689,
        776517112, 1179390166, 2884250121, 2107025487, 1847592315, 1214792717, 581761941,
        2035752941, 3257884740, 1011095107, 388625485, 621566511, 1878249130, 2298430809,
        3893830507, 2516166455, 1685998768, 3349147146, 4262358486, 164529678, 1000098113,
        1468664761, 1088142633, 2140348214, 672483433, 4236152545, 460911546, 1948312076,
        1030937440, 3633681142, 1170002101, 2159285228, 1104198886, 1581288546, 2266152509,
        1437951300, 3854459332, 88193405, 3804599756, 577997778, 3610194716, 2527782134,
        4194448103, 3390832927, 863423772, 2308481008, 1764994151, 2876150765, 474256942,
        3850214133, 2831691105, 4251752821, 80285354, 3225163007, 84390462, 1489215151, 1516077116,
        299402893, 1093360002, 706962212, 375054336, 678692965, 2794629958, 3684518009, 1067098399,
        3918266067, 770155119, 1400555696, 4260143847, 3420662760, 2234352998, 2627202272,
        2396298990, 2703934662, 2975030448, 1678542783, 3962857080, 2037990778, 2350341680,
        3690768614, 3327392397, 2374080995, 1568940040,
    ];
    let ys = vec![
        2432887163, 3617411153, 4065664491, 954897002, 1958352130, 2690853400, 3170435422,
        333223996, 1886503369, 2874118364, 2360990628, 3409169651, 14803166, 2428352279,
        2882529293, 215157778, 3595826381, 1351666697, 3213081864, 1796627015, 138520647,
        1446708749, 549025603, 1154696063, 951257454, 1061151557, 3578338019, 553024835,
        1032056788, 3332695385, 1916952270, 1402847201, 418140204, 1113800470, 3311963507,
        3579825680, 283695808, 1030062334, 2885288472, 2307021635, 1215165167, 361703549,
        3359666682, 2960119991, 3759575408,
    ];
    let out_len = xs.len() + ys.len();
    // xs_len * LIMIT_DENOMINATOR < LIMIT_NUMERATOR * 2 * ys_len
    // q == 3
    test(xs, ys, vec![10; out_len]);
    let xs = vec![
        2182584668, 370736031, 944597706, 368333101, 3076089385, 4269551750, 455799119, 1640998687,
        1332255273, 3039440200, 1094187469, 4158542740, 4241437189, 786279542, 3313987323,
        801901648, 2460914857, 2458651362, 1161118074, 3733983107, 1911753349, 4261306583,
        981590361, 1357088215, 210591422, 1159943023, 510963968, 2705428227, 3460159465,
        1967595187, 703584117, 3474024702, 3343010520, 1232104952, 823854220, 4012290690,
        3252492197, 3975386640, 1309751464, 232265040, 2026518879, 794539121, 1849747498,
        773993567, 2415934846, 842827728, 25297943, 3952540535, 2909076393, 4183158950, 2579267900,
        898983053, 2480815324, 1004385686, 3272214418, 2360496610, 3884948711, 3937994494,
        1355835525, 1862072763, 4077270583, 456721854, 1202741767, 1334238573, 3202598432,
        2518498766, 1873498914, 1155219866, 3257357513, 3381800028, 777225471, 1628571355,
        281982096, 1238331533, 728101793, 407378640, 1088081860, 2405377044, 2080950804,
        3105324348, 3065313268, 2776290680, 1200951260, 1789619269, 1088225065, 317598486,
        924903972, 3504476787, 1605816151, 388266283, 1613602905, 4051481387, 2773856406,
        3434866445, 2039264971, 1587433780, 1787644933, 2852323335,
    ];
    let ys = vec![
        3040086267, 3720432305, 3025753876, 3307555779, 2232302878, 1705545587, 3746861739,
        3551552480, 3791909589, 3559707401, 3597994914, 1201195479, 2759785652, 2538497144,
        2628719068, 1220743906, 2592330951, 357425155, 2683446134, 369894528, 2918070813,
        3201581079, 352827384, 2667389301, 406071886, 1478662115, 3424718337, 3498162517,
        1851891341, 2009161130, 4175528772, 2739823403, 2691610015, 530787751, 2995441702,
        238468207, 84087963, 2802633771, 2722772179, 1905704311, 791349630, 4036308669, 1333503772,
    ];
    let out_len = xs.len() + ys.len();
    // p == 9, q == 4
    test(xs, ys, vec![10; out_len]);
}

#[cfg(not(feature = "32_bit_limbs"))]
#[test]
fn test_limbs_mul_greater_to_out_toom_6h() {
    let test = |xs: Vec<Limb>, ys: Vec<Limb>, out_before: Vec<Limb>| {
        let mut out = out_before.to_vec();
        limbs_mul_greater_to_out_basecase(&mut out, &xs, &ys);
        let out_after = out;
        let mut out = out_before.to_vec();
        let mut scratch = vec![0; limbs_mul_greater_to_out_toom_6h_scratch_len(xs.len(), ys.len())];
        limbs_mul_greater_to_out_toom_6h(&mut out, &xs, &ys, &mut scratch);
        assert_eq!(out, out_after);
    };
    test(series(2, 42), series(3, 42), vec![10; 84]);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_greater_to_out_toom_6h_fail_1() {
    let mut scratch = vec![0; limbs_mul_greater_to_out_toom_6h_scratch_len(1, 1)];
    let mut out = vec![10; 4];
    limbs_mul_greater_to_out_toom_6h(&mut out, &[6], &[1], &mut scratch);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_greater_to_out_toom_6h_fail_2() {
    let mut scratch = vec![0; limbs_mul_greater_to_out_toom_6h_scratch_len(41, 42)];
    let mut out = vec![10; 83];
    let xs = series(3, 41);
    let ys = series(3, 42);
    limbs_mul_greater_to_out_toom_6h(&mut out, &xs, &ys, &mut scratch);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_greater_to_out_toom_6h_fail_3() {
    let mut scratch = vec![0; limbs_mul_greater_to_out_toom_6h_scratch_len(42, 41)];
    let mut out = vec![10; 83];
    let xs = series(3, 42);
    let ys = series(3, 41);
    limbs_mul_greater_to_out_toom_6h(&mut out, &xs, &ys, &mut scratch);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_greater_to_out_toom_6h_fail_4() {
    let mut scratch = vec![0; limbs_mul_greater_to_out_toom_6h_scratch_len(41, 41)];
    let mut out = vec![10; 82];
    let xs = series(3, 41);
    let ys = series(3, 41);
    limbs_mul_greater_to_out_toom_6h(&mut out, &xs, &ys, &mut scratch);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_greater_to_out_toom_6h_fail_5() {
    let mut scratch = vec![0; limbs_mul_greater_to_out_toom_6h_scratch_len(42, 42)];
    let mut out = vec![10; 83];
    let xs = series(3, 42);
    let ys = series(3, 42);
    limbs_mul_greater_to_out_toom_6h(&mut out, &xs, &ys, &mut scratch);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_greater_to_out_toom_6h_fail_6() {
    let mut scratch = vec![0; limbs_mul_greater_to_out_toom_6h_scratch_len(42, 0)];
    let mut out = vec![10; 42];
    let xs = series(3, 42);
    limbs_mul_greater_to_out_toom_6h(&mut out, &xs, &[], &mut scratch);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
fn test_limbs_mul_greater_to_out_toom_8h() {
    let test = |xs: Vec<Limb>, ys: Vec<Limb>, out_before: Vec<Limb>| {
        let mut out = out_before.to_vec();
        limbs_mul_greater_to_out_basecase(&mut out, &xs, &ys);
        let out_after = out;
        let mut out = out_before.to_vec();
        let mut scratch = vec![0; limbs_mul_greater_to_out_toom_8h_scratch_len(xs.len(), ys.len())];
        limbs_mul_greater_to_out_toom_8h(&mut out, &xs, &ys, &mut scratch);
        assert_eq!(out, out_after);
    };
    // xs_len == ys_len
    //        || xs_len * (TOOM_8H_LIMIT_DENOMINATOR >> 1) < TOOM_8H_LIMIT_NUMERATOR * (ys_len >> 1)
    // !(Limb::WIDTH > 36 && q == 3)
    // r6last.leading_zeros() < 3 in limbs_mul_toom_interpolate_16points
    // !half in limbs_mul_toom_interpolate_16points
    test(series(2, 86), series(3, 86), vec![10; 172]);
    let xs = vec![
        3581553119, 2147449432, 208926434, 2037430803, 4143975728, 2356343321, 937192435,
        1637432038, 661638621, 1801480924, 3779152128, 4243491821, 1667774376, 1715755489,
        3661813139, 1605971891, 4030695606, 2961165054, 1368430397, 2222904896, 2817587025,
        1714442303, 3822714979, 300305701, 1874484285, 2601340412, 2275789197, 2695461089,
        2246464394, 1119579754, 1646098622, 3280004748, 33497272, 1940830933, 3780770129,
        1587254032, 832573251, 1504418072, 4247592896, 317874907, 949850421, 2252881736,
        3574316069, 3062236166, 1396410954, 3249498785, 3495392204, 540855070, 1908700137,
        1469179505, 4199276220, 953657385, 3056452157, 2141569526, 2342475731, 3746376146,
        3271677606, 2770490239, 2212992129, 1758619376, 1446549455, 409094501, 767129031,
        3284625381, 1887741449, 1134874072, 2988924415, 1641550007, 856704035, 80648349,
        1467185629, 2753807208, 1609415681, 4087676277, 3276525355, 1530490532, 3475014952,
        1971819359, 2190766950, 2667577576, 2404497182, 4128259693, 2449514447, 4199089872,
        2205116036, 4089987616, 457231895,
    ];
    let ys = vec![
        1495737173, 3863569894, 2781409865, 2031883388, 2335263853, 2715800358, 580338429,
        3465089273, 419683969, 372309798, 2092398197, 1587236508, 1706866472, 1926863329,
        2427550983, 3014840641, 2591183237, 311998012, 1838159904, 2382380991, 3168560843,
        2457672651, 1329938456, 1585986499, 32624746, 1886190156, 1819802220, 4189456784,
        2354442118, 1007664036, 3528608675, 3607011918, 3175583218, 2103466232, 4139172560,
        1977990249, 408055457, 1917901811, 4285926188, 2576630504, 3833124229, 664620480,
        3594197860, 38119241, 2843152292, 1589895470, 132829200, 911163756, 3350029197, 141124331,
        628197809, 3184483823, 2738720089, 3684675439, 2998575143, 2394913714, 2088681890,
        2743885961, 2257026807, 2812703572, 678096205, 2964972038, 1641032123, 3238217254,
        2452280240, 193873172, 277301379, 106064560, 2264572378, 3461606200, 1584050797, 14355481,
        3385840230, 1703326352, 1625259628, 3642322228, 911402341, 2158835226, 939248485,
        3607511108, 2863853568, 1611642161, 1312857772, 1839433327, 567060478, 3139863681,
    ];
    let out_len = xs.len() + ys.len();
    // r5last.leading_zeros() < 7 in limbs_mul_toom_interpolate_16points
    test(xs, ys, vec![10; out_len]);
    let xs = vec![
        3998843185, 3237409891, 364765898, 887299373, 875693912, 790653310, 1949338310, 309040598,
        2753929769, 1560315881, 2158749638, 124625299, 1949071109, 4293842935, 3418183766,
        1387429696, 64843603, 1303399904, 455978049, 3724928213, 4182321093, 1342619213,
        1692503310, 2594578249, 2811338438, 1715625698, 751013184, 1529801113, 2582454920,
        4199343251, 3183268625, 2516721877, 1167772050, 2317983168, 1793272983, 311653702,
        3588179354, 661601476, 2154410870, 2334965650, 4135084105, 1682699224, 47903600,
        3273743199, 3845966395, 1357302998, 3756718174, 2451701689, 2321438159, 3211448326,
        2377823945, 50814995, 1672303030, 4158805623, 2661886690, 1846253587, 702414278,
        4059841129, 3727323213, 1424047747, 2939622087, 2231052374, 2013876172, 2053003398,
        1741887596, 3509712959, 5142212, 3825464748, 3375048072, 338658021, 2655991044, 2889153792,
        2332483687, 934832926, 3863652984, 1414099507, 2895368376, 1013122176, 2794762768,
        2981493251, 3152252275, 1564424419, 536147906, 242465174, 3000707896, 3526733161,
        943706939, 349997931, 1497577916, 3473622068, 1517005385, 2206423568, 1544165865,
        3199998353,
    ];
    let ys = vec![
        1562512360, 3239315566, 2225439589, 502536858, 1867965636, 618137922, 4149231651,
        476678563, 4203415530, 4178036608, 1956783646, 4023049148, 2645084690, 270122366,
        201340005, 4276855303, 1021151730, 916821881, 663141922, 2795604136, 3762385264, 348487994,
        2655354829, 343872945, 2028904125, 1525417887, 867188532, 3911999830, 2139706847,
        3256484706, 961423019, 1530068826, 3577946967, 2361035355, 337639742, 3774308229,
        2185652798, 3532716804, 4018761888, 1357817255, 2216301712, 2861241181, 3053055924,
        3777579308, 795689292, 3386662598, 4160296368, 2005833155, 1297354264, 2851045342,
        954306552, 1613754854, 2227385445, 528669733, 3315107199, 3402866739, 1117279433,
        232818134, 1490857876, 1962534623, 1227821174, 159891958, 1385848424, 4061426539,
        647828819, 2061390815, 4239314784, 1854131914, 3258304017, 524974854, 450125309, 684998491,
        2942294237, 4191667771, 2230185588, 1844054665, 193300986, 2652500966, 4050934267,
        1133780381, 3709046706, 909867408, 4209959016, 4275912160, 277155368, 1775051743,
        4190065677,
    ];
    let out_len = xs.len() + ys.len();
    // !(an == bn || an * (TOOM_8H_LIMIT_DENOMINATOR >> 1) < TOOM_8H_LIMIT_NUMERATOR * (bn >> 1))
    // xs_len * 13 < 16 * ys_len
    // half
    // s <= t
    // half in limbs_mul_toom_interpolate_16points
    // s_plus_t > n in limbs_mul_toom_interpolate_16points
    test(xs, ys, vec![10; out_len]);
    let xs = vec![
        2456061149, 2562918666, 2903450513, 1994190773, 99234624, 3722083920, 4262323306,
        202219441, 4201857695, 3988878636, 1533308334, 401400520, 1069756554, 2457773969,
        2892388936, 3423117995, 1944069442, 492036629, 3426800580, 2282483359, 4006366620,
        1695364515, 2555180845, 1669287836, 349290429, 778467450, 2020203604, 2218159817,
        1450404019, 1278304750, 2412695340, 1592154884, 3868182043, 2240370481, 3859902860,
        1008825116, 412233394, 2475457637, 3664379433, 4204584226, 2750684469, 4113507475,
        2916584959, 285955744, 739598569, 18278051, 3768126932, 2181905109, 2612988076, 1827656088,
        1160380415, 4160443718, 1846086671, 3050604645, 2547108010, 2828666778, 3252702258,
        3885923576, 2331974758, 730724707, 1528859315, 4288784328, 3677151116, 445199233,
        3304488688, 3566979465, 3541025426, 2491779846, 3112990742, 2583249486, 3403111749,
        1930721237, 3428792463, 2896462048, 2985885576, 1819460734, 21206096, 3560441846,
        987100555, 2844904275, 84854892, 1268249628, 3963306788, 3338670067, 2504599089, 65588657,
        321493327, 4249673617, 4150876068, 721566898, 2186945060, 922948272, 1502464627,
        1426914435, 2906888275, 3454987739, 2609132626, 2073366782, 1058809001, 1226951003,
        2624503637,
    ];
    let ys = vec![
        3941840558, 1662743930, 1905993615, 2485835810, 3925643251, 3071436009, 851721712,
        1325046168, 3214018378, 1465803515, 2459667310, 2361559987, 2668552637, 2425633974,
        3200812339, 2594448814, 4170435967, 1112582678, 3198704424, 4028094030, 2482710119,
        2990475705, 708195759, 612294539, 2794828841, 2498141427, 3805184114, 3010938369,
        1479667740, 660767380, 1641177565, 1782849661, 1915222559, 1626388136, 1816788637,
        1338361170, 783877621, 4003339370, 1930607900, 1259399167, 3351643097, 1641708262,
        967800396, 1800752717, 2198926109, 1163817943, 2710351254, 451351637, 1285647338,
        865168955, 645286276, 2685132510, 1773153387, 4273868103, 2604563645, 4105767904,
        2556376985, 158907213, 3579937882, 3059825408, 1920542835, 528717490, 1430681949,
        616489338, 597761261, 3760865497, 963173252, 2915089223, 1441674715, 1717557648,
        1819215517, 3449795284, 844168976, 1574237607, 758725457, 762624299, 533122182, 1201164787,
        1968174784, 896982568, 3419630169, 2247559545, 3983311870, 3975342941, 1112833399,
        2721518545, 2493587613, 3444837338,
    ];
    let out_len = xs.len() + ys.len();
    // s > t
    // s_plus_t <= n in limbs_mul_toom_interpolate_16points
    test(xs, ys, vec![10; out_len]);
    let xs = vec![
        2166912886, 3021127478, 1088026295, 863338925, 1902617744, 2706401163, 3211745137,
        3537828549, 2310228205, 2585051285, 3210490216, 612524924, 269492174, 83675252, 3088638931,
        2020592214, 884676247, 2114372012, 2448236682, 3651962645, 4142890271, 3807368959,
        3038213130, 1740849525, 1839016815, 3718350068, 1798083657, 4018300117, 2557824626,
        1367910868, 3524299249, 2718734101, 2199735437, 2156117642, 3314330151, 91570504,
        1763771190, 730175380, 3035959105, 930897603, 4104577491, 1545111417, 2973200358,
        1531233892, 3216274102, 2879326700, 4043195388, 4012932329, 1225928231, 3148638781,
        3350412374, 571148440, 42117077, 2619230436, 570695610, 3533920410, 2337569860, 2616128436,
        1101128308, 986097032, 4127211776, 1459526104, 121723950, 1459838938, 1563443987,
        3106615121, 2637954840, 238917822, 3086105506, 2960421944, 2937286162, 3871313970,
        554575295, 450448609, 493464699, 3492897008, 3198787067, 2691863142, 874317820, 1804414164,
        572281701, 2867423932, 412542374, 239109523, 4270925097, 1858402222, 3784404338, 162014339,
        182208178, 171269941, 1556499146, 3122050585, 2070559038, 1293272336,
    ];
    let ys = vec![
        131674806, 603734923, 2440163395, 2896151903, 2142986136, 3702794463, 407655836,
        1281722924, 1990690788, 2883417209, 1106804242, 965105623, 3369860750, 2422075060,
        1042530548, 1864787458, 1722387953, 324177444, 3169639558, 1324636283, 1394919591,
        1382200609, 4014256585, 1943865290, 1318181231, 2753206532, 465681637, 3556126827,
        3726586809, 2859198026, 1880611700, 2743775719, 2312093882, 2611444395, 2043850780,
        1748249887, 1827465861, 1827026074, 3842470222, 886015214, 1202152837, 1760966154,
        1303682364, 2141063912, 2027419958, 3046273896, 276337299, 1629565318, 3973822671,
        3586055166, 515343743, 4150823547, 3812419028, 4047886683, 408756427, 30807697, 3839670586,
        3241113948, 1946580966, 211283947, 1648787704, 1254977229, 324210665, 409019127, 999906525,
        3589880779, 2652719468, 2740912614, 75319316, 3276454084, 3598090610, 225502084,
        1039377126, 3755265351, 299690912, 2582901309, 891564570, 1062813956, 318910996,
        2153235228, 2834278326, 130377847, 977327805, 3290994684, 2956083989, 826986477,
        1417957671, 2007397536, 3845476521,
    ];
    let out_len = xs.len() + ys.len();
    // s < 1
    test(xs, ys, vec![10; out_len]);
    let xs = vec![
        1012246656, 3781649075, 2144318856, 2608903399, 688555306, 1040133166, 3831584367,
        1593112617, 1823654254, 840638304, 3109717334, 188514461, 398797195, 75875990, 1486449995,
        4269057266, 3729965858, 1861862237, 3631015569, 3651675458, 103019792, 4115125912,
        854107191, 437995362, 1626634580, 1556708150, 2197935825, 142443256, 2516681044, 165384798,
        622726627, 2804275513, 3768014324, 1019999140, 1630141384, 1569491385, 2650112147,
        404117490, 959368136, 1567892691, 3740061638, 1492035182, 2806958299, 3558543973,
        2394278513, 193040368, 140963621, 2363913022, 521760299, 1509309827, 1222622424, 236238235,
        148145098, 1185145642, 4050835140, 3496710859, 2912031916, 2811044753, 293786270,
        1593967022, 3059741198, 957447590, 999733770, 3225819121, 389969264, 1617194653, 930042654,
        2073424372, 1334988223, 2244143480, 3036433790, 314486992, 3505856530, 2253001666,
        2732695676, 2150239253, 2058771616, 2553846568, 3156714961, 275374496, 2154639432,
        1705499511, 2661128488, 2996751598, 1991220721, 2971546013, 947096109, 1988630082,
        3629027637, 2894867708, 982953971, 1288656915, 3544920961, 2725968940, 2718109332,
        1685012966, 2463009759, 1861144639, 2364403606, 3459863283, 983775524, 3466796660,
        1976698215, 708098181, 3069387825, 3638611575, 2579187312, 632774203,
    ];
    let ys = vec![
        1809516468, 2803977220, 3078159083, 486681337, 1568336896, 4117841648, 422990983,
        2706208156, 3747890395, 2705136812, 2904348475, 1582408791, 723059442, 3021061511,
        4080366324, 344817763, 4291264074, 846996023, 4266039848, 1034099747, 3469554547,
        1098932136, 4197098884, 2840685725, 3598360260, 3858664271, 2988904929, 3788334949,
        2778508367, 2862059554, 3453038230, 315104137, 659918534, 3119028578, 178870393,
        1471088291, 908295683, 5373305, 1643272591, 1306263419, 808966614, 4084169993, 740212697,
        4046005160, 2962244838, 2183688745, 2126344144, 2041407930, 201066579, 4119015900,
        3263668172, 1482349211, 660638692, 596028971, 3002749394, 3127689329, 147925750,
        1069598238, 1868876453, 1293290441, 1391999979, 1064595909, 1912901608, 751720124,
        313663396, 2718231373, 1813378594, 1913592155, 2372166689, 312370283, 1294902637,
        1519106439, 2159217107, 3862662328, 3650935678, 3673744494, 1365354839, 4239084491,
        2676645359, 906655247, 2012326184, 363781147, 121405308, 3179196888, 1415338639, 788446024,
        2165764832,
    ];
    let out_len = xs.len() + ys.len();
    // Limb::WIDTH <= 9 * 3
    //            || xs_len * (TOOM_8H_LIMIT_DENOMINATOR >> 1)
    //                < (TOOM_8H_LIMIT_NUMERATOR / 7 * 9) * (ys_len >> 1)
    test(xs, ys, vec![10; out_len]);
    let xs = vec![
        4119986492, 3769784140, 1016845783, 1462133596, 4070906664, 3720888633, 4162266585,
        357581522, 1461543577, 4176530320, 4211178471, 3101664977, 3852655570, 166352500,
        1437797012, 3499540684, 1659293446, 4040889056, 2872135683, 3443479700, 655062062,
        1438477128, 1251147166, 2862092792, 1899445621, 1706155530, 2740470033, 732343724,
        3637646944, 4084594941, 2604690616, 4034800391, 3052473123, 2211244267, 947388355,
        584537104, 4143732645, 753960748, 3490638800, 3716731483, 812984705, 1845462359, 65215620,
        4176252687, 2616921776, 2554085123, 4119079055, 4015290385, 697509015, 234073199,
        845662165, 1354305840, 981298174, 1565184955, 207005143, 3409837524, 1220287572, 729153595,
        4103593694, 3696910742, 3965466426, 2266950204, 3856396952, 1764904477, 2684424799,
        2851670593, 1238534904, 1193928568, 775873269, 1360693711, 2015831201, 4011315900,
        3412793575, 214657369, 4288738109, 2288646350, 4016569358, 3132961648, 4045851426,
        3660819126, 4044839853, 3089247133, 2180567261, 2646234732, 1387965746, 2657998851,
        713566741, 3356621670, 3732665499, 1904626236, 64110644, 1408823950, 3590020345,
        2474929782, 849015605, 44073994, 1392682200, 2899713947, 276297197, 2522590522, 3057126922,
        2424068009, 1656987557, 1344629217, 2147192728, 3358875432, 3127883048, 1416207351,
        2542101426, 711240683, 2104649063,
    ];
    let ys = vec![
        2166824272, 3241826034, 3119928903, 4235394337, 702909009, 952063230, 3767289278,
        3471432542, 1289423414, 4165356232, 1144080646, 1098693005, 2158644075, 3466960484,
        107907398, 1849951849, 1697379716, 3245621651, 789557144, 3055443426, 3784862213,
        3687293729, 3527108073, 2085509714, 2098672286, 4237955923, 1799505183, 4280924128,
        1714047371, 679046973, 2920210487, 2630108623, 3799940507, 2820960341, 2480102998,
        3063576036, 1124333889, 3649141414, 3766465016, 1301782752, 3365747207, 318110166,
        1798715740, 3939897237, 1972418626, 525713989, 4204639302, 1845175119, 3066964494,
        3197166778, 2045294098, 1778200774, 1122512884, 487879411, 3912690682, 2631572995,
        119236796, 3659697136, 875446358, 2784882013, 724223194, 2290104863, 3553626657,
        1049986268, 1149074120, 457683007, 342994481, 3969592954, 4124706173, 793289745, 50385201,
        428623925, 330776585, 154172871, 652756593, 1305471058, 3295431270, 1976260297, 1729803474,
        1132360814, 2965768226, 3482945302, 2017386623, 1093051437, 2874103717, 2882475975,
        3735654948, 1766940801, 3723445548, 3203977826, 1788553316,
    ];
    let out_len = xs.len() + ys.len();
    // t < 1
    test(xs, ys, vec![10; out_len]);
    let xs = vec![
        562392731, 220608607, 3016011233, 1988425644, 1753293069, 202000452, 2988281129,
        1833355482, 2406139229, 3819843447, 3864310556, 2964129037, 3243750205, 1300008578,
        213321522, 4162936161, 3499001762, 2548817881, 797422884, 3464557820, 3172918275,
        3342298017, 4095467160, 1278405537, 2731045246, 1797909329, 915931552, 1234105774,
        1721010619, 393116356, 3595672812, 246921897, 3156619416, 367413315, 835896205, 1133867872,
        732164137, 2864249493, 4191919416, 2012484604, 2046119300, 464214194, 1309621688,
        2133767576, 1817717936, 3210357881, 2703486295, 73128890, 3834854978, 1247202589,
        3867658887, 743571365, 623502109, 2414902368, 4157134303, 505113368, 3563229135,
        2326845431, 1870329856, 412186635, 643126122, 918171482, 3174437348, 992920198, 2549886607,
        2594507263, 870344606, 3354423872, 3768408002, 1124888954, 3015715321, 3554830011,
        153164314, 2571405898, 3088317836, 3826710038, 532463221, 2174408986, 4066384743,
        2858347925, 3362316763, 3912725306, 1672655485, 747559434, 2494848220, 3353179599,
        2958541661, 2754014801, 2253228000, 3548360599, 2532574632, 3609949183, 4224112455,
        2830762232, 1638592699, 748357099, 2027377618, 2154359009, 2042715188, 2328113060,
        2228778844, 3805284055, 3740811424, 437279916, 2305090412, 2502181871, 3285232891,
        3972490704, 3821166397, 3272678301, 2818983671, 4257635933, 1730183078, 4193248424,
        1863033893, 2751966968, 1985590742, 1553448103, 2731396486, 102894954, 1596356734,
        2399109494, 326183031, 3303826610,
    ];
    let ys = vec![
        1675796150, 1752707855, 2960577702, 4246206199, 1769535683, 1968809225, 2828046910,
        2881173858, 4049894594, 690462953, 288094502, 2301238042, 171278398, 2941234911,
        3855716963, 3569445656, 3999649666, 1033046275, 1441788099, 1121368236, 3979411258,
        1744237927, 2218358768, 3293576320, 3290293896, 2918243870, 1271587143, 1530970846,
        1057501000, 1208621673, 1776318661, 2630121830, 1577699073, 3947123592, 1916313897,
        3189157970, 1684300643, 5245214, 2973935012, 1013692937, 2575458340, 1202811269,
        2350985644, 938605227, 710807110, 3840777315, 2476378686, 1408221563, 3963538750,
        1495981337, 345677390, 2267206171, 597425252, 3652332994, 1484311898, 395641995, 508511757,
        1756437663, 1140313927, 4146891666, 1764315654, 3179667093, 2753886170, 2955381796,
        1486042517, 194560773, 4113616196, 3870970045, 687965138, 970031260, 4029682995, 652798493,
        3718790353, 2790548419, 1973920939, 1737499520, 3093968446, 4016940528, 1440510403,
        2896783742, 3442955437, 3111677005, 4265014223, 2141411993, 177598581, 1546615872,
        1296900550,
    ];
    let out_len = xs.len() + ys.len();
    // xs_len * 10 < 33 * (ys_len >> 1)
    test(xs, ys, vec![10; out_len]);
    let xs = vec![
        2699110155, 1597521691, 470373633, 1547603733, 1114505968, 121868046, 1203637014,
        1508031395, 2678363006, 1428373366, 181016145, 2228522822, 3784155833, 1174663302,
        3119880811, 3351843127, 1893166310, 2733160757, 573074872, 1444139090, 3771161592,
        3202218806, 1184188558, 1337716051, 2651973158, 1523269291, 3416369561, 374511279,
        2679410392, 1510022750, 228616166, 4003251265, 4290642350, 3280834410, 1463007103,
        2311946289, 160203186, 1585276951, 3812024477, 3976220702, 3453132955, 903478724,
        1692984648, 32969770, 393253462, 2089515635, 2580037721, 1368262724, 3975524017,
        1095890302, 3362835893, 1467244702, 3126524190, 1558041706, 1473844963, 2931771668,
        769941843, 1383766743, 2048229827, 3587516656, 744923988, 3114188668, 2900631137,
        1550641047, 3971430916, 1024708451, 266103704, 1961354549, 2996989736, 96509114,
        3209890269, 558760343, 1942895993, 3030238742, 3901981217, 1553802266, 1100766439,
        3617908428, 2903765815, 160559154, 3223711195, 1505354960, 3400362702, 1532921847,
        2633984159, 2547091597, 3753857128, 1603256426, 1467979288, 834683287, 883770936,
        2091938738, 717946381, 1738927478, 4212395432, 3554713903, 2891799196, 2460462345,
        1068611661, 1983982847, 4254702408, 2862607717, 205351503, 899537845, 4178691861,
        2027719370, 1613590765, 1667586567, 658709687, 569869145, 2542265621, 4018309335,
        3115945617, 1860868443, 2042873761, 2857432666, 3454761191, 644158605, 952236065,
        1246066126, 1054146509, 820815201, 4116210106, 911797864, 980581305, 3662945636,
        2395465042, 2988547838, 1592529958, 4123985797, 1086072833, 1344358819, 2713461665,
        1166149285, 868088866, 120572741, 2719927699, 1609748024, 1381464015, 2371158669,
        2027765235, 2167125167,
    ];
    let ys = vec![
        1088368182, 3374520919, 2135624591, 387360487, 3348241848, 2559227752, 3399060139,
        2714380393, 371475119, 1878664574, 3306012397, 3678253780, 2537332523, 634258529,
        2378309044, 1907416933, 2176550942, 3624058493, 608851538, 77324946, 854257549, 2563267740,
        1842976277, 2560652658, 1177372492, 4164431297, 2857340159, 2813781292, 3608170666,
        289363804, 1276568988, 1858470908, 2027103570, 1210716416, 3885179582, 980951621,
        1332461771, 2439102632, 78855299, 1535655076, 820717475, 1372739985, 4277759699,
        1928781862, 2056547589, 2689637269, 3487926306, 1712399855, 2387894324, 1345157890,
        420194957, 2408734980, 1088476282, 1237271902, 1570597541, 1299046081, 2179334980,
        3757788366, 1320170918, 2220338411, 3413493273, 4047658929, 1004605073, 3758106669,
        3623304103, 2595195415, 3392723185, 227342906, 3297612463, 1577658966, 3646845515,
        1442494023, 1805636027, 1293916606, 1856823520, 2157779944, 1701394115, 1586957718,
        2203990942, 3794477956, 470446365, 3294563814, 2801795027, 2712013665, 1473818504,
        2726878536, 4276109446,
    ];
    let out_len = xs.len() + ys.len();
    // Limb::WIDTH <= 10 * 3
    //            || xs_len * (TOOM_8H_LIMIT_DENOMINATOR / 5) <
    //      (TOOM_8H_LIMIT_NUMERATOR / 3) * ys_len
    test(xs, ys, vec![10; out_len]);
    let xs = vec![
        561532292, 1489901668, 253691236, 2318497628, 4251899866, 2953100123, 2461942387,
        3249119706, 369296206, 4217598289, 2953582842, 2377320700, 2568035293, 3298340549,
        2920237456, 546954422, 3577037488, 92033404, 145112422, 2502470868, 1400281201, 2303329463,
        633903343, 3944799609, 57410139, 3300617501, 2988597979, 3756577241, 1111328153,
        2315706065, 2359556880, 170569603, 1875977300, 2265470483, 1673672630, 2694260146,
        620660163, 4086502272, 2268845329, 2531408738, 745892765, 2985301421, 641961881, 620799476,
        1513471210, 2206613713, 895576219, 3432428917, 1326478424, 721293050, 4129832181,
        2328492091, 790053303, 1886834609, 2560250292, 14318242, 2263105643, 3768652300,
        3685567034, 1053183071, 4035043131, 1140590999, 1312717632, 820131789, 2381319255,
        515196511, 2436315339, 513976227, 688721295, 2969875582, 2843970288, 567346371, 2277297382,
        3266747935, 3125131739, 391700432, 2628083321, 779071641, 2971551059, 3314957816,
        871191953, 3336232721, 2709555815, 918246312, 923872244, 2827827195, 2966239254,
        1586350108, 1024706608, 3525365202, 594940169, 1872199600, 3239665333, 694926057,
        4271587637, 3916707341, 2190558956, 2300957253, 772629754, 238192213, 4247448230,
        3565892036, 3184365211, 2516885224, 3979985839, 1180780557, 783722885, 1061155274,
        3798456603, 3320505371, 589311966, 1623819314, 1001947009, 4232577387, 474033387,
        3930737007, 1729002759, 3148522805, 658463592, 1424102704, 2305467923, 552214960,
        1642169523, 2066768192, 3794357111, 3557589618, 4204044663, 1778418301, 1181058217,
        1612951946, 588858899, 3836952607, 2977777237, 9660119, 2962495164, 2992962211, 3923151463,
        3345257705, 2981383558, 2363319525, 3608470059, 874691575, 2586822309, 912499640,
        603852379, 1888867173, 2770352234, 4238262229, 3877831016, 2596074823, 3663087235,
        542677879, 228437282, 480155344, 709141324, 782255006, 2839979153, 1271748198, 1031245745,
        3053801112, 3462023195, 172164778, 3874269611, 3279470898, 4076666435, 3596981639,
        810288236,
    ];
    let ys = vec![
        2267307147, 2856749182, 90961593, 1052868712, 3437758783, 899762302, 2825414504,
        3100252964, 214994098, 4262558841, 2740902902, 1743352008, 1922058509, 2975766063,
        3399126202, 897115238, 401142729, 1715015464, 244955103, 3177992227, 405891649, 1768495060,
        3524094602, 4080016656, 1432684874, 3397000143, 434821341, 1754546815, 4094846559,
        4286153335, 2240106918, 2310322076, 1713831329, 1428414845, 2188185809, 2111765503,
        1131727372, 929039425, 465389857, 2677898170, 1160632541, 3376736943, 491317513,
        3242464822, 2045506450, 1242019843, 3965879224, 2484620055, 3447163057, 2809067396,
        2409780789, 548871240, 2024164190, 4133800101, 105887616, 4257692355, 1942633927,
        1532037864, 2395107706, 1815832330, 3470252735, 3388820081, 2275739186, 2499364631,
        2076801086, 3670985009, 395675635, 4219873512, 338672631, 3757753689, 730801911, 529959909,
        393050276, 2506914867, 349901023, 889932113, 2359995672, 2260685091, 3193258383, 993644814,
        660499678, 4213349264, 915065087, 44382277, 1138965336, 3728412916,
    ];
    let out_len = xs.len() + ys.len();
    // xs_len * 6 < 13 * ys_len
    test(xs, ys, vec![10; out_len]);
    let xs = vec![
        2628750713, 2361938253, 4208887130, 2080756349, 672997060, 2130716095, 4212789307,
        1848408220, 3496438901, 84923093, 3765911616, 1894564551, 1611354899, 273564832,
        4150644671, 3064400972, 1543250045, 2858928926, 1070491873, 1579001797, 1184344436,
        2022081087, 579467674, 3617124184, 243126922, 3969739693, 3428743965, 4195070089,
        3234082950, 333482038, 2496442330, 894715026, 434494401, 2735937738, 194433417, 3547773069,
        1310458322, 1092526211, 460831665, 314882384, 352225614, 2524634920, 3907974253,
        3587596708, 90585625, 3922151265, 2706453821, 2479984430, 1899379393, 521798300,
        3544490367, 4025847744, 520557399, 1960228079, 2440638916, 3922652110, 2874111917,
        3780219346, 1155970954, 3101729918, 1154605497, 1641746684, 3885558155, 713658859,
        2298415211, 1104859444, 397648670, 938276629, 2245930839, 351999985, 3962599907, 162580649,
        4135267160, 3893533927, 708603373, 3649893874, 1549341047, 446919848, 3848748260,
        1193215655, 1667453481, 4263900238, 3083741929, 569862864, 111540402, 371222591, 836814821,
        2523967214, 3373518119, 288800478, 2983910658, 3822451776, 3717238299, 4103554210,
        497321656, 1267537380, 2210886058, 393666292, 2341926460, 2993069655, 3449632275,
        345728673, 1850135319, 1546568315, 349065480, 4148532822, 2743969263, 1135023914,
        856540508, 710683508, 621037301, 2245404525, 1375763902, 4230256152, 1103848377,
        4068950000, 2774111626, 4005998377, 1420452414, 142442998, 296389949, 1793483671,
        3236856344, 1470778143, 2199111141, 1485252921, 3021831668, 3409728715, 494048497,
        425352623, 547187992, 307378564, 1878128309, 3632431108, 3608263098, 3158948042, 268203532,
        1889965332, 2413564070, 494017444, 4018318246, 2256416411, 2325799856, 424840978,
        1475143253, 2578705133, 3454058108, 875893914, 3369487214, 2161583703, 2368049199,
        3710749831, 2234731371, 2548143256, 1212646047, 775618131, 821458424, 3027168315,
        841398247, 3991240853, 2094376383, 3587145176, 1943420573, 781156526, 2434343084,
        2126213029, 2402207510, 4019808646, 316909832, 2750686513, 2438176721, 308346316,
        242903105, 3531437189, 4095795963, 2087963376, 3007755141, 1683404210, 3086330285,
        1333246101, 1581088323, 1356633529, 3666603849, 540703941, 1410918479, 2987931996,
        2750320701, 3483743338, 2503688388, 3308034421, 3019960566, 2668657879, 2363438262,
        1470517413,
    ];
    let ys = vec![
        2312659839, 2350424241, 1787407270, 1271425122, 4187967770, 818645453, 3539315256,
        2178962268, 2575529612, 3589703821, 2051328589, 1350506812, 1181962471, 440960359,
        1364212437, 3414960630, 901255513, 1225743051, 2301315145, 1970642256, 2850715818,
        3128888797, 2317420929, 2155667782, 1962983120, 2710186451, 648444928, 2272821232,
        133989660, 3141011857, 1529770260, 802759102, 2173416392, 1305065341, 45650077, 1082105231,
        1602486318, 3755990436, 1936896216, 2400713018, 1591016508, 4068454220, 3596573883,
        2619324298, 33580971, 2286577695, 3083324417, 1169438566, 3225233768, 808739442,
        2766243970, 3455083573, 1549857550, 3592398125, 2248831497, 3521856807, 1967034,
        3078700295, 1346379862, 3820864333, 2903766704, 3884607466, 4174763992, 270916374,
        3218398044, 3434381035, 159751999, 2768080251, 2464394277, 566049661, 442155673,
        4112913396, 1456961327, 38309439, 1525792638, 2372197825, 1956558568, 4294769490,
        3096019721, 2031664251, 3017984223, 1381760341, 4260655051, 2253457354, 2984264086,
        1088854315,
    ];
    let out_len = xs.len() + ys.len();
    // Limb::WIDTH <= 11 * 3 || xs_len * 4 < 9 * ys_len
    test(xs, ys, vec![10; out_len]);
}

#[cfg(not(feature = "32_bit_limbs"))]
#[test]
fn test_limbs_mul_greater_to_out_toom_8h() {
    let test = |xs: Vec<Limb>, ys: Vec<Limb>, out_before: Vec<Limb>| {
        let mut out = out_before.to_vec();
        limbs_mul_greater_to_out_basecase(&mut out, &xs, &ys);
        let out_after = out;
        let mut out = out_before.to_vec();
        let mut scratch = vec![0; limbs_mul_greater_to_out_toom_8h_scratch_len(xs.len(), ys.len())];
        limbs_mul_greater_to_out_toom_8h(&mut out, &xs, &ys, &mut scratch);
        assert_eq!(out, out_after);
    };
    test(series(2, 86), series(3, 86), vec![10; 172]);
    let xs = vec![
        4161517722334671206,
        271035878974614969,
        8768264966582261304,
        8206956804546718361,
        10016740860128464264,
        2943682457917422384,
        10577659840261915262,
        12098681961003341371,
        2525073961085508373,
        6868684266500244649,
        509821878609210517,
        4263249474085213536,
        2307565444887817803,
        12419028787241261317,
        1281995004584322618,
        13869993964458308221,
        4485392892470363180,
        3274613913599014818,
        13075432300049036016,
        14042578030952079199,
        13098932791585915075,
        10142506622182970580,
        7251838551095799764,
        17051632328075633635,
        14834683551906590335,
        18022997779550454484,
        13851155116066438974,
        3279920275984726839,
        12575373964173554443,
        15489604937489489906,
        12630529117895897413,
        9562379919499143009,
        1417878505992996127,
        2188363987094684136,
        4744951957683006311,
        12112952790370550632,
        313413052918057660,
        952838993607855174,
        5933080761807357068,
        5875775551766205334,
        10228588026136726855,
        13111641204516926240,
        10636665232562365918,
        11359964631071199362,
        5929704785320756798,
        7890881054270407934,
        4884891330151666074,
        11055829837821054078,
        13707765469312479203,
        8153558212434726394,
        17445193585880639275,
        6568289716541023323,
        8041757936108402209,
        11089742802624534358,
        9104866424438942973,
        3236275382520001400,
        9213626463300221545,
        5359296447813232573,
        2888775200925828643,
        1504166968227419931,
        14327007717613163305,
        11802896026004225094,
        12726419078417922871,
        13309155468447837337,
        8586421913645886721,
        53962250520164792,
        10299535356260218467,
        16946113957982976032,
        2902460381404773190,
        14757465720632393328,
        4285719983639600380,
        8437230965528545912,
        5716398831975234496,
        1373020012523386515,
        3326027605041066746,
        17656221602314109866,
        5927567778944922379,
        7395768072445629410,
        11551011221061348004,
        13862329630891761456,
        3443745263810155735,
        497965567194021216,
        13073929868627981515,
        9340721263069758697,
        16189911797862953019,
        17331477506134450185,
        18441976800868209749,
        3733349995001197864,
        6937510789920909911,
        10459182483341515090,
        16282716012969111817,
        3142838808933013004,
        176169927348158611,
        11447076894000834768,
    ];
    let ys = vec![
        3898028307372664956,
        17056541935478225194,
        14004255653437064260,
        5500365157672511509,
        15774417221201329293,
        3229812365626959565,
        1542674716041014040,
        7356251598468809943,
        18181760582149085284,
        6447899299954117957,
        15228766707939040914,
        15272444333081468110,
        8256864946368840840,
        15131537266446006793,
        15615697223616434527,
        18149135087211146951,
        6359898540214993921,
        11306735121000975748,
        10447887135010383963,
        12772438236294882417,
        17631737056955710770,
        8945404460793598129,
        8945720889114856152,
        3648711115155303988,
        4353348842999127960,
        2258094147328762698,
        17154005505580115535,
        13882701371593165208,
        1610163839528654069,
        15350954595089578211,
        2071555476679360064,
        7797386300145290156,
        12827100752536039252,
        9294676638100895403,
        13194197740670114341,
        9490868657650122292,
        13133123495028388830,
        12350221742051084451,
        12424378851382358824,
        9807292823459903392,
        10987641767148832341,
        10914994897211362878,
        828242546480310184,
        18006801931269403354,
        3042908768715701160,
        8117699035539485321,
        11944855102415629844,
        7384949013429384602,
        11066738683960763872,
        14686958392900209441,
        16412025437157422416,
        1334344044228684681,
        1631366399820348565,
        18062594111889109095,
        5175299421808157128,
        16616812968596909641,
        797326939277169478,
        14593183003025528412,
        3580961852669434633,
        2104948106588459323,
        14322976299272137248,
        3536903766355663369,
        6932211742640251008,
        17616766237027326857,
        1477865108082927148,
        7817082715310166375,
        16183969129154492111,
        18146981620947356859,
        11618268397687338183,
        15294321769160092821,
        2447614867702883346,
        15261926111061449320,
        4029723450982123355,
        7820711996327940306,
        6188156586792352365,
        15703528769184364862,
        6698415575574578533,
        7770946582061166480,
        3543987370105940918,
        8845414905041844753,
        13110356713999163167,
        12862812457872444435,
        10749027774576978236,
        17822296942008093229,
        13898152040175560707,
        1879212271519144526,
        5428215269251527991,
    ];
    let out_len = xs.len() + ys.len();
    test(xs, ys, vec![10; out_len]);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_greater_to_out_toom_8h_fail_1() {
    let mut scratch = vec![0; limbs_mul_greater_to_out_toom_8h_scratch_len(1, 1)];
    let mut out = vec![10; 4];
    limbs_mul_greater_to_out_toom_8h(&mut out, &[6], &[1], &mut scratch);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_greater_to_out_toom_8h_fail_2() {
    let mut scratch = vec![0; limbs_mul_greater_to_out_toom_8h_scratch_len(85, 86)];
    let mut out = vec![10; 171];
    let xs = series(3, 85);
    let ys = series(3, 86);
    limbs_mul_greater_to_out_toom_8h(&mut out, &xs, &ys, &mut scratch);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_greater_to_out_toom_8h_fail_3() {
    let mut scratch = vec![0; limbs_mul_greater_to_out_toom_8h_scratch_len(86, 85)];
    let mut out = vec![10; 171];
    let xs = series(3, 86);
    let ys = series(3, 85);
    limbs_mul_greater_to_out_toom_8h(&mut out, &xs, &ys, &mut scratch);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_greater_to_out_toom_8h_fail_4() {
    let mut scratch = vec![0; limbs_mul_greater_to_out_toom_8h_scratch_len(85, 85)];
    let mut out = vec![10; 170];
    let xs = series(3, 85);
    let ys = series(3, 85);
    limbs_mul_greater_to_out_toom_8h(&mut out, &xs, &ys, &mut scratch);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_greater_to_out_toom_8h_fail_5() {
    let mut scratch = vec![0; limbs_mul_greater_to_out_toom_8h_scratch_len(86, 86)];
    let mut out = vec![10; 171];
    let xs = series(3, 86);
    let ys = series(3, 86);
    limbs_mul_greater_to_out_toom_8h(&mut out, &xs, &ys, &mut scratch);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_greater_to_out_toom_8h_fail_6() {
    let mut scratch = vec![0; limbs_mul_greater_to_out_toom_8h_scratch_len(86, 0)];
    let mut out = vec![10; 86];
    let xs = series(3, 42);
    limbs_mul_greater_to_out_toom_8h(&mut out, &xs, &[], &mut scratch);
}

#[cfg(not(feature = "32_bit_limbs"))]
#[test]
fn test_limbs_mul_mod_base_pow_n_minus_1() {
    let test = |out_before: Vec<Limb>,
                rn: usize,
                xs: Vec<Limb>,
                ys: Vec<Limb>,
                scratch_before: Vec<Limb>,
                out_after: Vec<Limb>| {
        let mut out = out_before;
        let mut scratch = scratch_before;
        limbs_mul_mod_base_pow_n_minus_1(&mut out, rn, &xs, &ys, &mut scratch);
        assert_eq!(out, out_after);
    };
    let out = vec![10; 905];
    let xs = vec![
        6809535447687914471,
        1103330005972507068,
        372788324988356904,
        3310988417383334329,
        2768136713654061049,
        17867128683005223868,
        2238946582723710409,
        3081056558438604150,
        17026613024401611127,
        1744473747933758430,
        4884032754714318833,
        5071706901657208751,
        12689572021505695693,
        10978480551041753799,
        1800129976413451867,
        16286820002622524539,
        7281000574726170357,
        4219678291438654832,
        15700081839772688751,
        15205907878248907247,
        14393184334614991066,
        14756848254875178077,
        4793637008204029812,
        9858797803427744303,
        16884118866110086987,
        2330774877124323542,
        16233995226797389662,
        6091870787973288330,
        5905123672617126566,
        6532637120046850310,
        3781012952181700512,
        1147955258215944149,
        16381863291477272057,
        13470194198585905847,
        2807745192926696062,
        10417338102018291024,
        1182003379390951531,
        10572015994470653864,
        11256589899556451377,
        7047560236256902575,
        16809106838958682299,
        8167397083217775737,
        10405120914265859441,
        6050515699222625782,
        17283763639396397450,
        12481792043865481917,
        10515115098175408116,
        3547231139273206009,
        2955870806881464447,
        81763485884574417,
        18038197306999979657,
        2697663113419170508,
        13640328591104580425,
        16380387086795482436,
        5937997179794219672,
        11280227770841311656,
        15247718447550407960,
        3356207189433327172,
        9295483089881333487,
        1048090603086884014,
        17630347864859687326,
        16292502783826501772,
        2554058376409680235,
        8746244974811121511,
        13601151617020904249,
        11424464616482878222,
        16592787416774613845,
        9541965809588758702,
        10304263209519954371,
        9718232210246640079,
        3964199137038797179,
        1133689222449100290,
        11762544598027160268,
        8892566166642784135,
        4992855273094478682,
        3467095579457639126,
        17527051578764837605,
        12788831523184320706,
        15884832626408420422,
        15445614371886990386,
        4605408054811466579,
        9468992277252416191,
        16059556135741327423,
        13703354904914355468,
        12651524370372775470,
        12076530382821868093,
        9203720925482564499,
        6751521177612318975,
        14730048400600245248,
        9583087821356332745,
        7635737274166465491,
        15909961927185268608,
        15152412967792641434,
        1117148048506231546,
        15036765086001151283,
        9461075977858154319,
        283984775170615496,
        10870934978120381565,
        16402595751643852267,
        13300950714409955136,
        16269834104766854165,
        3823800040156766433,
        8001239710257605750,
        8854456135465589491,
        3559503577426585699,
        82907824154359285,
        10429508186090534661,
        1795271336507026791,
        16052612691484506490,
        4449527904102534257,
        6652828614119627650,
        9436314767260323923,
        14084834581845197080,
        3924506166878684856,
        4006253714000661354,
        16835787368527074469,
        2939573978616449941,
        827685924983906914,
        513438846841933201,
        5499086145667050935,
        5970432596053952196,
        2357808915999726215,
        13130152994826263557,
        1029371010558121271,
        9673453535289645591,
        13630045027309361503,
        15140438118448998733,
        14475237670869667854,
        646607524428232975,
        8603154126726854477,
        562632002079264944,
        11132087168116199036,
        712016548873706286,
        1162552953778143562,
        2720821187699295729,
        12629405027198622023,
        10085431077125120126,
        11036408623217209328,
        9412034889605831573,
        3580947814659655797,
        2384617485952276249,
        11991332791506170431,
        355732385395682650,
        11957596579072080069,
        7637503009753705463,
        8641065560841157989,
        5385185370436588141,
        14613602605895034796,
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    let ys = vec![
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    ];
    let scratch = vec![0; 964];
    let out_after = vec![
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        9912693764834406519,
        14831540747828363756,
        8079998785196191830,
        11252016841358535301,
        1583433672276669340,
        3452712503195064151,
        3057285240369947887,
        2595743348455770874,
        13596185098573058903,
        11667772373252099988,
        3692370881551772687,
        14912011223264263901,
        3289162294555844501,
        11705734929820375948,
        17609626782993672509,
        18117255127345119328,
        1604093155153663473,
        9302755008283648290,
        4607754412797627670,
        2438148241672671544,
        7767633059920523266,
        3595119232557040143,
        12437965844493362543,
        5945493114625270416,
        1881882682439839256,
        12119104281808262978,
        6340145747352803155,
        13626236273901226360,
        13270069380549785256,
        15850889016963874457,
        340925488865420050,
        14028143098693299269,
        3675481773099673886,
        15132383794361616982,
        12233631174234968448,
        12037785574496977166,
        10737440493925210255,
        17968097042350264930,
        17680205263988402231,
        10859227415540706659,
        1792989334549221826,
        2177480830391393668,
        10338369798118713206,
        11542959090623521328,
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        14797673892858036574,
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        11588285294320616520,
        3085763786364505728,
        382160258300824544,
        5755505265595418236,
        15139252786842523155,
        3984606858609787503,
        7067124810169118107,
        11087518322251373936,
        2145074716108216620,
        13925513670821357445,
        11473752360428444547,
        3033405528387034503,
        7582032677934023131,
        6892449022193017132,
        13657958745036075118,
        6128417560891330511,
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        13130020275156534634,
        15464211076162624262,
        5054410800851766065,
        5483902692780184480,
        4738318744782334997,
        16867167009329238452,
        2678560575986600940,
        2615258434432884977,
        7292976780151019583,
        7128935031167862533,
        18221899987307473439,
        11248303633169678295,
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        3155353877742869694,
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        7418994727203896067,
        14811917097660163843,
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        13483754102463667701,
        7612123824094233525,
        512453134520186948,
        11691341684613561710,
        13867096232148780503,
        7687434174716142000,
        6803483980923514751,
        13342782916572404854,
        8439201436522607326,
        9757760943763629593,
        5981970754483057908,
        4190757094163155311,
        5660547043969581137,
        14325603855966161415,
        8929633236673768270,
        9297312576387550830,
        1693558263949957284,
        6836793952945831062,
        10347383165146273428,
        14661681337332505439,
        17963531302478114205,
        1709137293854005147,
        3006720702657955228,
        7329219772915910677,
        17104100208631258612,
        1949699737886797762,
        17000436044616227003,
        11324808183485510201,
        13235495906244342819,
        15749585439652205935,
        13303759086698322754,
        14891288338853864137,
        2704605299240507925,
        18013575082547999538,
        2430267745104734440,
        6179542971962498102,
        16185308076341237746,
        16642985193904420358,
        2654686382891502775,
        14166125840594907890,
        13875221482589820174,
        4356811139286595070,
        7880657059321548510,
        9955951238878446164,
        17891804138739212705,
        11829321244704294673,
        11236151306675978093,
        4831011344740993127,
        15572388809599316560,
        17846543352626240390,
        7199845863441340373,
        11121886749027339043,
        4373695674384726918,
        17093036459186744076,
        12232005422016339414,
        17131567018724437993,
        16256199016182051711,
        13475963188288260257,
        911027923034979647,
        6400295517498242996,
        8837389249699670037,
        2811700517251274120,
        513035437159887251,
        15619284911695136524,
        399375572943822801,
        7075743944967114918,
        15672634271222934582,
        7207711819265953469,
        13693046740725554616,
        4027434095315202255,
        3539401330347027933,
        14804329511729011870,
        349324242806502305,
        9296277440807870703,
        7176700326904811702,
        240113067969972951,
        8383831921575151446,
        1722116363229832243,
        11612954111300504655,
        2215733152712733871,
        13493183699196154480,
        16071186765983825953,
        4130784068501749192,
        7338573984508524547,
        10825001941195956075,
        14997934222654203001,
        6505703712429055284,
        7221915757982082460,
        1275601006259924603,
        5672514881351973473,
        14882830470570010681,
        10941637348461954999,
        9488919083136123898,
        14043552860848000866,
        16822079753245337019,
        4714248213100277643,
        969715273010037797,
        15521864292227188985,
        16073105970793932270,
        15708820798300121289,
        13898215817316628619,
        12776496008354836588,
        14999798045466993632,
        3260898735577297939,
        13139436153787118831,
        13332280475731022238,
        17383012290790364040,
        2995641007327542345,
        14136727525433141277,
        17334568127137876546,
        16958828191205021632,
        12417369554667951160,
        3090518852098624195,
        13657230135070531823,
        11743085280276876203,
        3114616886140581544,
        6043287503993377429,
        17550757261658589945,
        17149590190690566703,
        9103040591046283294,
        7946146551153766574,
        6328750617512334061,
        7611645677682650836,
        15633620719663274568,
        9212436143674176261,
        15788907043061834348,
        9498761316246368036,
        7352496413262997914,
        9095543535942948357,
        13109519298804112825,
        17605710606152813899,
        11836475532966293267,
        15936748974921397105,
        1111801049346591026,
        15762144272111321164,
        13004674117006965866,
        11908453630639663926,
        8672383672749866782,
        2088248899380502026,
        7296610571351867175,
        13755695345060796205,
        2999982423435890541,
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        7438701329152033623,
        11629269482462741856,
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        12704646697057875,
        6458480273092609348,
        6552269679491575287,
        16764409845541378365,
        5112781772516022587,
        8008989787537536761,
        1103584530948037829,
        16382841334779146359,
        10554805089071823936,
        5435260964051060833,
        9791508728754514420,
        490382068908134805,
        17435419070710567937,
        14195398757764953304,
        2963888499740999291,
        4662041165840469949,
        6744621662455431846,
        13427204268640870135,
        3887747288146601313,
        15443876414310792510,
        14209765039523837918,
        15685162874875886369,
        17718873723062454563,
        3899085415479325935,
        8112448753673506965,
        9870640447409364221,
        11832870733499002257,
        12563697741369320162,
        7101757806260064829,
        8836333095435223130,
        2301074177341928226,
        8276824997793946999,
        2827834280767843126,
        11204234843351418659,
        14057032714422307544,
        16637779355549534512,
        17293043019105638911,
        5235444579393367735,
        7875158171121328348,
        12032932633735348172,
        17577724652120330660,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
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        10,
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        10,
        10,
        10,
        10,
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        10,
        10,
        10,
        10,
        10,
        10,
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        10,
        10,
        10,
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        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
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        10,
        10,
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        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
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        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
        10,
    ];
    test(out, 480, xs, ys, scratch, out_after);

    let out = vec![10; 905];
    let xs = vec![
        12477471680342457016,
        7439834363175998259,
        8364531072478531307,
        7720669117264982572,
        13871089126608066865,
        5538739089658515009,
        13485862549968349516,
        16668965138415286574,
        12815918125584966674,
        14984155091932260860,
        16644766636646585123,
        306590725006293979,
        8429368518159297616,
        9218529725576681069,
        15016741949480768499,
        1670879514738013725,
        8417955162372577946,
        15387720484925756369,
        5110476884223883348,
        1816362467650579730,
        6344760880304946457,
        4582050077501139760,
        11544561500401244826,
        17507375286136941082,
        6780825611959218867,
        2173592718397418409,
        14895320899302250577,
        1732130437372403944,
        2652228013798656770,
        14059887082577558829,
        17320142963333434007,
        14639018477416372959,
        4436670787324500429,
        5494397060264160564,
        14648982379079464056,
        4281784633461453767,
        6798187094949642558,
        6608877920405717218,
        12631712797504769978,
        8551308273612802041,
        17246776198396440310,
        6444397599333607623,
        15925650298696285563,
        10601768410796015631,
        15000906276520941112,
        3338797399168993953,
        1246352375954040582,
        11420394385271506024,
        17068095307090480528,
        7644631914604520606,
        11033781661348318008,
        11117169690184835735,
        258761790873428567,
        17489901188933003933,
        14840505235785535230,
        13227413113638715481,
        16997698053799118525,
        9019797589817151925,
        4493694255366969932,
        9725237995968980495,
        15577413875064628551,
        2280312394933338862,
        225569847977698671,
        2323301829890963353,
        10256874123357921822,
        12539122566148296448,
        9989537237723725906,
        6811992642529374338,
        88727847633051669,
        15695593575052197094,
        2761202085861005143,
        16533039048484256106,
        9351088285086271793,
        4055478109313752276,
        10213434408975318081,
        8762684020269433141,
        5837079994402234584,
        16514518402377369291,
        12378208937452956180,
        14421807887515276362,
        3988627559762405319,
        3918544582422029230,
        4755956678288947720,
        9676877814462397554,
        224961575368542488,
        14611489560386313010,
        5196486534973110781,
        14213777193365038984,
        4602978866967803674,
        11003619085742827120,
        16763677630294953394,
        1684559030448096764,
        17767374982649848838,
        4877949630873126245,
        3682814944580280752,
        2561235719818456295,
        2364934896956055350,
        18263613281445563076,
        4089114060737928308,
        1871768083735193579,
        16678770828678552573,
        4414846026098045432,
        17125831209897882395,
        3912127090800830255,
        14011181803889192282,
        1295043426575781791,
        10420967703804408197,
        6199906131836288010,
        11807153033347357192,
        14265899593105313257,
        8147605267573587369,
        3295330776500509264,
        16732577613226211515,
        3630606949899242603,
        4077531443619740772,
        11812426165247810337,
        780989759563676061,
        16843715221613475518,
        520503200629457264,
        15698734581373560858,
        15717047446773117386,
        11739182472950746776,
        5508507755766772851,
        11277744890514126849,
        7102937323315103744,
        15043426316219001362,
        17264933403548961444,
        4786858792980655802,
        2014728966166520846,
        13049152613696846196,
        8986797982833879405,
        5686978963676857351,
        772150166774986658,
        14517086870053753709,
        14954116996489490375,
        7746391697910526188,
        4606434146793009376,
        3009553593220536962,
        11834331104428006940,
        9959812709547803325,
        9312818550721389795,
        8167722699792448458,
        732874657192970052,
        698773781905867242,
        12119405880051172902,
        17673033350796167980,
        13538870733321508367,
        2664725175527539380,
        7636536994105874784,
        8629987496621113680,
        2000550558774774739,
        13628751714628702436,
        3345724186836801042,
        5296651644730514746,
        15440075910536479523,
        11566524344598274755,
        12142530999548267726,
        3178476168461706193,
        11231993373182544616,
        5535836762655782188,
        1821857691788680579,
        15398067123112832375,
        2959937906512595934,
        9894128090659796945,
        10977676213479413606,
        9896053141077387340,
        4732359585478105829,
        2782537058538126590,
        16748650113511090469,
        16234573623069140583,
        13526364553240274764,
        3472042735026885459,
        1375504011635585658,
        14134901088610758184,
        5812986093773998116,
        18343907802066284210,
        10338195362284836496,
        4538933452393836273,
        7202972851508573831,
        10663048845744919725,
        11111095559628771539,
        15813947556665176307,
        3844063447234634925,
        5652338735091822320,
        15812061039848958137,
        8229753298839583649,
        802923134917039889,
        4829163585440544772,
        15429176731296846429,
        8019558793413477543,
        1452525545607666514,
        15573790577533593753,
        491936016981197942,
        10062863560179613545,
        11061384784011621889,
        1900052214617990619,
        7753731008479284745,
        16019010346473083888,
        10253841258470892164,
        13903408453788781151,
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    let ys = vec![
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        11716810196377677056,
    ];
    test(out, 960, xs, ys, scratch, out_after);
    test(
        vec![
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            14769069119913127616,
            9177168551686374492,
            15140565915751014925,
            924212491380315180,
            1560999192236438812,
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            13348576723395503060,
            3609063818274619379,
            10959876508495766635,
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            8930147615298565568,
            1510138210058461841,
            138658670646289458,
            12458879312664552547,
            2808979850323582450,
            14034036666484023484,
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            4257210144363692139,
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            17487850811313620991,
            11723765031594531899,
            12058758430990318672,
            13113234745283246366,
            14258831759967032298,
            5702057171550109179,
            13097449289463197974,
            4956526745376824433,
            5705156949115651685,
            12015733702012855186,
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            1905089081593904691,
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            11964485411396601998,
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            4301011085545481404,
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            17274359723691631952,
            12634456101984828972,
            18130410107220630156,
            11889003125474723933,
            16069412996687629414,
            14767547198599161992,
            1104256363303539555,
        ],
        112,
        vec![
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            2472381872242532960,
            15748089475115162936,
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            12865519292113075754,
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            9940518318209913958,
            2566490491730418524,
            4997841530198583881,
            11759671980624847072,
            12804335234851198898,
        ],
        vec![
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            5780768250525361575,
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            11973054691848315139,
            4061237791967812067,
            2991418391396596002,
            4703879799196538602,
        ],
        vec![
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            13872577160616872141,
            5825838831881338115,
            3862312932472761757,
            138044675074312990,
            15071993629914359360,
            17124765792905529105,
            3248142733680724962,
            3891075505082712037,
            6225475960510427854,
            11369706706515368571,
            11286728465632095620,
            5182849661875987731,
            11179192798752789740,
            10750517245961749782,
            9660102259642485054,
            7905348372980940366,
            6606241368966986909,
            10292241739332011027,
            3848900457088510551,
            12152591835908862357,
            4562770772987021222,
            15938089548127288011,
            9698047696083781011,
            13560645597951715331,
            7732793292629543444,
            7001973034910440318,
            409123120027429255,
            17678180108806694420,
            12698074214205994356,
            7447251798260171941,
            9757491913093219480,
            10221393982691316695,
            12294139009925614381,
            12645218559587650799,
            1569889406832824935,
            15186575789336541212,
            11156326477797897792,
            3241434575939356910,
            7753423363217428843,
            12882554975845472437,
            8367515576296379496,
            7308654739706172282,
            10357093098345630105,
            7448894655389345071,
            13033958940183436012,
            4023926600201752831,
            922969942182092752,
            0,
            0,
        ],
        vec![
            428006685349647609,
            7204145293518952443,
            11791003654963925746,
            2505792214484682253,
            8108316487989608659,
            13780196866264665329,
            9953181804399070508,
            4136674009057114789,
            16606729965278593786,
            17177157337945625561,
            4837680254021048240,
            9379658380128247416,
            3012240265336162150,
            10902131616911906952,
            4485885110776748559,
            11729287033558411069,
            3601025811236822387,
            16042927197309963407,
            15195320086232266472,
            1335053215979905641,
            13532069890206403083,
            18094969954718697842,
            11554202269641514254,
            6403207599202754602,
            5506746445690691110,
            15578759879114917443,
            8851198090240221910,
            33092233213362571,
            3901122084110515729,
            1066956798888524232,
            14634384737761094242,
            12113217349928728328,
            9311779266239300758,
            3954657017302988647,
            15532948787491930233,
            7561648003514142824,
            3533375924863968581,
            11403256543506170549,
            14720984883173782359,
            17386473882517270759,
            13904760793036335927,
            1743693703212112035,
            16080759313684757024,
            16414994735840739,
            5271412552749845691,
            14285133708577039222,
            2285218927081566054,
            4416233718641470493,
            18000037526325532907,
            9874370178595584823,
            2431098204987529914,
            16053941488194364614,
            13953671515916339883,
            2042478395473246676,
            15825222700565763229,
            215338277757125297,
            11715801345488940860,
            15276655380547065511,
            18173108185582673895,
            14702410041012894911,
            17207703913939254166,
            4048944409583435567,
            9240704600129021640,
            10746010074070008578,
            10882274053549736437,
            17502803382613798018,
            17103667474686148623,
            1210754893985321636,
            14411333195446047958,
            9505671694718631767,
            17438945960504601463,
            17181086340701682720,
            2087061119253391199,
            4309925416075845511,
            15682876991754565762,
            1083109033127246208,
            4261779269652031267,
            12103546078796301947,
            11869822949907847429,
            10776362556491885652,
            3496260740980747565,
            1952845492765004055,
            3956805099328134345,
            13449597823431522461,
            1303096111058814577,
            2380211731709650934,
            18106526914056683197,
            11484139358020791769,
            2127792824095743993,
            4065001616617210813,
            16699812364763026472,
            7039834103740457737,
            13922378224749177434,
            3842744781605852390,
            2881049947442869386,
            9197037672589549736,
            16294658006443583090,
            1354837441772061197,
            6800107739861512622,
            7157401423299319780,
            11344094968696196811,
            14476284546277236050,
            5424464793786542079,
            5963838631551795433,
            5066844411121684619,
            17308776236012135105,
            4153319859448120557,
            9810663971090332314,
            4914337127311050195,
            3998867848399474691,
            5662987571533822588,
            879647540404803095,
        ],
    );
}

fn verify_mul_low_1(out_before: &[Limb], xs: &[Limb], ys: &[Limb], out_after: &[Limb]) {
    let n = Natural::from_limbs_asc(xs) * Natural::from_limbs_asc(ys);
    let mut ns = n.into_limbs_asc();
    let len = xs.len();
    ns.resize(len, 0);
    assert_eq!(ns, &out_after[..len]);
    assert_eq!(&out_after[len..], &out_before[len..]);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
fn test_limbs_mul_low_same_length_basecase() {
    let test = |xs: Vec<Limb>, ys: Vec<Limb>, out_before: Vec<Limb>, out_after: Vec<Limb>| {
        let mut out = out_before.clone();
        limbs_mul_low_same_length_basecase(&mut out, &xs, &ys);
        assert_eq!(out, out_after);

        let mut out = out_before.clone();
        limbs_mul_low_same_length_basecase_alt(&mut out, &xs, &ys);
        assert_eq!(out, out_after);

        verify_mul_low_1(&out_before, &xs, &ys, &out_after);
    };
    test(vec![2], vec![3], vec![10; 3], vec![6, 10, 10]);
    test(
        vec![1; 3],
        series(1, 3),
        vec![5; 8],
        vec![1, 3, 6, 5, 5, 5, 5, 5],
    );
    test(
        vec![100, 101, 102],
        vec![102, 101, 100],
        vec![10; 7],
        vec![10200, 20402, 30605, 10, 10, 10, 10],
    );
    test(vec![u32::MAX], vec![1], vec![10; 3], vec![u32::MAX, 10, 10]);
    test(
        vec![u32::MAX],
        vec![u32::MAX],
        vec![10; 4],
        vec![1, 10, 10, 10],
    );
    test(
        vec![u32::MAX; 3],
        vec![u32::MAX; 3],
        vec![10; 6],
        vec![1, 0, 0, 10, 10, 10],
    );
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_low_same_length_basecase_fail_1() {
    let mut out = vec![10, 10, 10, 10, 10];
    limbs_mul_low_same_length_basecase(&mut out, &[6, 7], &[1, 2, 3]);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_low_same_length_basecase_fail_2() {
    let mut out = vec![10];
    limbs_mul_low_same_length_basecase(&mut out, &[6, 7], &[1, 2]);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_low_same_length_basecase_fail_3() {
    let mut out = vec![10];
    limbs_mul_low_same_length_basecase(&mut out, &[], &[]);
}

#[test]
fn limbs_mul_low_same_length_basecase_properties() {
    let mut config = GenConfig::new();
    config.insert("mean_length_n", 32);
    config.insert("mean_stripe_n", 16 << Limb::LOG_WIDTH);
    unsigned_vec_triple_gen_var_24().test_properties_with_config(
        &config,
        |(out_before, xs, ys)| {
            let mut out = out_before.to_vec();
            limbs_mul_low_same_length_basecase(&mut out, &xs, &ys);

            let out_after = out;
            let mut out = out_before.to_vec();
            limbs_mul_low_same_length_basecase_alt(&mut out, &xs, &ys);
            assert_eq!(out, out_after);

            verify_mul_low_1(&out_before, &xs, &ys, &out_after);
        },
    );
}

fn verify_mul_low_2(xs: &[Limb], ys: &[Limb], out: &[Limb]) {
    let n = Natural::from_limbs_asc(xs) * Natural::from_limbs_asc(ys);
    let mut ns = n.into_limbs_asc();
    let len = xs.len();
    ns.resize(len, 0);
    assert_eq!(ns, out);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
fn test_limbs_mul_low_same_length_divide_and_conquer() {
    let test = |xs: Vec<Limb>, ys: Vec<Limb>, out_before: Vec<Limb>, out_after: &[Limb]| {
        let len = xs.len();
        let mut out = out_before.clone();
        limbs_mul_low_same_length_divide_and_conquer_shared_scratch(&mut out, &xs, &ys);
        assert_eq!(&out[..len], out_after);

        let mut out = out_before;
        let mut scratch = vec![0; xs.len() << 1];
        limbs_mul_low_same_length_divide_and_conquer(&mut out, &xs, &ys, &mut scratch);
        assert_eq!(&out[..len], out_after);

        verify_mul_low_2(&xs, &ys, out_after);
    };
    // MAYBE_RANGE_BASECASE && n < MUL_TOOM22THRESHOLD * 36 / (36 - 11)
    // n1 < MULLO_BASECASE_THRESHOLD
    test(vec![1; 3], series(1, 3), vec![5; 8], &[1, 3, 6]);
    test(
        vec![100, 101, 102],
        vec![102, 101, 100],
        vec![10; 7],
        &[10200, 20402, 30605],
    );
    test(
        vec![u32::MAX; 3],
        vec![u32::MAX; 3],
        vec![10; 6],
        &[1, 0, 0],
    );
    // n < MUL_TOOM44THRESHOLD * 40 / (40 - 9)
    // n1 >= MULLO_BASECASE_THRESHOLD
    test(
        vec![
            461989387, 2665399848, 3579300374, 878189998, 4019917942, 1906890030, 3540714906,
            785021435, 2655957692, 3564967487, 2215671253, 2954375312, 3945786785, 2381932623,
            570517012, 897945067, 890538555, 4176726399, 1938024252, 1214448000, 2607894539,
            1325279234, 1564558613, 987829481, 2178327923, 4147856447, 4083057668, 785634261,
            2167973152, 1652571464, 70145184, 217938310, 1833392838, 807859939, 1395394971,
            2852311871, 2904303228, 3198169893, 3331434354, 735263109, 4147668831, 2611779917,
            2853615276, 1375955505, 2451249431, 4226040869, 171021557, 1972314766, 277184426,
            2375785672, 2222399598, 810164152, 1039489350, 2933759445, 3534834167, 1138611909,
            672716981, 2084719089, 538544765, 3894759873, 937996537, 1412775694, 3879993313,
            1085679676, 1967211093, 1504744432, 3666320291, 2237452530, 1826697476, 3221257357,
            580543441, 4245347387, 4208784414, 3482952509, 1951149172, 3708033640, 586662200,
            345242773, 2377487665, 3100161675, 3699715979, 1377295273, 2132506492, 293803895,
            1798986191, 4197257911, 627991308, 2783841978, 3918540249, 29355619, 3412985598,
            1519516456, 3710419939, 721212175, 3932373394, 4152619047, 2587596408, 456847065,
            1492972877, 2878578092, 4224013690, 4183847837, 3441313194, 715397057, 4270121821,
            1405478162, 3277147812, 3938142059, 2533309358, 1504116963, 3653366746, 2109153696,
            2511274585, 90325377, 1647825264, 836765640, 1125067095, 3544759944, 2652860738,
            1079540720, 1986083965, 3960406547, 349138094, 2949875969, 2733651822, 3091427333,
            3570148981, 733070163, 4233388956, 3214072096, 3112563117, 1651509303, 2142845704,
            1051620120, 3770606367, 4159133142, 2506712000, 1161310860, 1621911269, 2878403318,
            206258321, 1812136445, 3881335928, 703342820, 4106909674, 3002521966, 2923723774,
            3098805336, 1503909373, 827876722, 188113568, 342517338, 743560400, 2994196952,
            1909518945, 4098343484, 1410898722, 1188050013, 3739587846, 1187118353, 2097511427,
            4268272529, 3038427753, 3211203785, 4227105159, 1129593228, 2044890920, 2369860975,
            2369399578, 1454306337, 91937919, 798293675, 163666826, 774359002, 1184861045,
            717591688, 1661912106, 2791047481, 2777706888, 3878079014, 1418504920, 2448450319,
            1922646614, 3068210241, 16469458, 4024185119, 1215576054, 311246292, 4059710876,
            4265782141, 4187978245, 4278365409, 4288916077, 1305069248, 1563951794, 2960618962,
            2009022918, 1272389839, 2439394275, 4208883918, 1504352264, 369924536, 13357077,
            1532849248, 485135885, 2924605508, 841648515, 705817258, 954451953, 3740323831,
            2757913511, 3424971384, 2775642081, 1876912734, 630579777, 747682898, 3056441789,
            2407022149, 3613070805, 2027387425, 4277873093, 3802579285, 744104253, 2776789109,
            1370095770, 1305744491, 18166236, 304885422, 2971797302, 3549745966, 741626137,
            795961656, 1741115244, 3220360703, 4121898682, 2553071415, 3851952692, 3272833446,
            1749035103, 3660315457, 815620200, 4112719780, 4169868140, 111675416, 572996149,
            527650323, 3028027759, 3074169491, 3295530784, 1548029727, 410371832, 1384175276,
            1019155445, 940733503, 3362087055, 313802022, 1997544491, 472489619, 1402431484,
            3640929705, 203857340, 399422159, 2714826274, 1480889873, 2185368870, 2143561855,
            837780556, 4244388174, 347736364, 183686097, 896312971, 774613537, 3413697161,
            3233389068, 4019739363, 337295178, 1832529524, 1289908799,
        ],
        vec![
            3152074368, 2609279004, 2289393871, 1484468596, 1208431774, 832849643, 288683182,
            3006999416, 1903458849, 3111117159, 3671553126, 427622591, 3190285531, 3311271958,
            234886006, 1671522985, 529046783, 2869877832, 2642573124, 60209762, 3035295220,
            2511225368, 2206515646, 3850823730, 222908649, 2567682433, 2162714751, 490925601,
            1537433919, 3002058493, 2023135946, 875430531, 4129401376, 1327326767, 752062706,
            4112039026, 3726450563, 3167143759, 3983527603, 842382530, 3153795246, 3598914654,
            3417317498, 3553459715, 1106685605, 2142189479, 2339845222, 2514744298, 1446296496,
            3075359392, 317750583, 1297434773, 806470314, 3548517324, 2896883965, 1547969571,
            2485824310, 805179503, 4202831898, 597659823, 3535591228, 855958045, 1755923867,
            3365965707, 9682282, 3287632414, 1149281829, 964617017, 4003502184, 1850865215,
            987376895, 22121503, 3262730353, 3067466886, 1231496573, 683689717, 2341771143,
            2402732693, 1733447213, 492218933, 1092253813, 3015603177, 1300236300, 2607300207,
            2327157037, 1107197558, 1862484547, 970467880, 1116477123, 1727183986, 1866387311,
            4294876996, 2433423873, 1947645522, 3490401276, 3091887938, 2150744771, 1590400854,
            4235775628, 2260414990, 2867210260, 1289781050, 3796740921, 1443787618, 2784677595,
            2242443647, 2083926475, 492343557, 4143467814, 4259917315, 2370814617, 1512402965,
            1165630944, 1172451831, 448126667, 2504642429, 2943134913, 253722272, 3930555887,
            236043678, 2028066178, 2274670726, 2117908175, 1814596459, 1589398655, 3643981976,
            3708172828, 2628370440, 2994406702, 3768287526, 3697661671, 72250477, 1952682906,
            3890984670, 2335366358, 1486511900, 3932950080, 4154600910, 1641913905, 1181402070,
            1236047930, 3178973441, 3150857560, 3584289380, 609401228, 733328893, 3965865377,
            3698014337, 2769360864, 1034884438, 739582397, 1922193210, 1130663039, 2639094031,
            2919470545, 3614476088, 1565067122, 120324146, 2567666261, 39022936, 4114703092,
            165126137, 2949477884, 2405325064, 2237215558, 2498656017, 1425552926, 1121499119,
            1406111625, 3405344040, 1219643487, 3602348463, 512125432, 1367217197, 1477847901,
            2226582448, 1871611823, 1134590604, 3982040908, 1623284673, 1857753233, 321590484,
            3220580378, 727231217, 983590217, 3953357093, 514378029, 3972342992, 2131575137,
            3154014995, 1075955265, 1966241007, 3201815871, 3097020322, 3758733690, 762231963,
            344183707, 2857398231, 3337254067, 218375481, 882367684, 2204572067, 1038287244,
            3321266584, 2994716041, 1768291972, 3957932586, 3024157312, 621247724, 1627210559,
            3958490863, 2281045736, 3555698779, 3902429680, 426592368, 3133450642, 4010080363,
            1875043293, 3628899254, 2601848204, 663261663, 1664093718, 3328282988, 2238354920,
            4012861950, 920971329, 1582693646, 3875328875, 3096546242, 2216996167, 347539721,
            454900186, 2025219395, 1756065860, 1337774773, 1867666187, 584376262, 2443135798,
            699177444, 2101251123, 1815621294, 1747522047, 4180260619, 2565611399, 3614008442,
            981733561, 339547618, 1433098485, 523523039, 756060971, 432087064, 1056119297,
            3262021204, 2309315188, 36557289, 3784506551, 3467316194, 3626135421, 2707559086,
            895034761, 805184221, 2207233543, 2613952626, 2493110341, 1147976987, 3110836167,
            738569324, 2424079556, 2624128221, 441916235, 2974993618, 1131709928, 1556781361,
            2518935270, 2504025847, 61629344, 3838407260, 1506641084,
        ],
        vec![10; 556],
        &[
            4070586240, 2326530569, 2261395410, 825689729, 2475737777, 2607579621, 2779055768,
            1031674491, 1535775813, 3799159704, 2509339137, 642496935, 1388726819, 253797856,
            2389660485, 1933170407, 612455389, 4107963146, 1906296838, 2898497315, 2050606412,
            3001222322, 1228059054, 2396274750, 2706199930, 3790047803, 1941351862, 1789409896,
            1715227383, 4265202904, 256846097, 2002262811, 1019015022, 2082931322, 892118471,
            1902650557, 1821044055, 628436942, 992944813, 2152035281, 3205031699, 3012731022,
            640270255, 3942556100, 4180900492, 3316509849, 1950826436, 3810257818, 2224553717,
            1511731290, 3648751071, 26431626, 4214594419, 3417633336, 1456941539, 858305585,
            1967412985, 3623211292, 3984085024, 1384481949, 747470989, 3106003382, 1550527069,
            3614045491, 2344422097, 373587226, 2547151647, 994917426, 2913847676, 2378129020,
            555898239, 1108784126, 1609305655, 2815855409, 2517331928, 235971500, 4146164385,
            513982484, 3224855761, 616267314, 3033012116, 944903736, 4143585656, 1155526042,
            1713184683, 1067605397, 4185794190, 3837642784, 2629382351, 937694634, 807052082,
            200210144, 925428999, 2855412451, 351040428, 3193751061, 1327138015, 1236708649,
            762670968, 637002031, 3265514324, 1325649336, 418630090, 2004473621, 395337679,
            1254733858, 2979245588, 2917625161, 4154932643, 333114873, 4020812672, 196942723,
            3805667762, 1295056656, 757090141, 1581564716, 3028221550, 652769076, 2520564087,
            1804643123, 597439055, 2022877640, 2295355063, 2554644875, 2505050304, 1251254106,
            766564249, 736769858, 655024585, 3983536005, 2807999031, 2526649460, 3997807999,
            1027142135, 3147220153, 2611110579, 1353792039, 96665204, 3799354781, 1169870906,
            163280197, 1201147091, 506111450, 560981310, 2487787507, 293569384, 1660966093,
            4172508795, 2079157727, 427559941, 2199181463, 766276398, 3590398380, 921568940,
            1978512327, 2526895800, 155351140, 1734194686, 4286806742, 1665643514, 2910888313,
            1105506458, 2792013812, 84803204, 2779601075, 3530726950, 2109503137, 447716492,
            249291965, 871214282, 1950969439, 831198533, 2725086482, 1111889448, 3879479978,
            2578937795, 2360329247, 849485221, 3118220783, 3215737700, 2629034929, 1803802428,
            579744897, 1521586187, 3794906163, 1682984424, 2501371511, 382339060, 1548025441,
            3993119644, 2642540168, 445700200, 973327482, 672676716, 3810693263, 3980560630,
            633737607, 2979566412, 3035890974, 2663806368, 3077368948, 559094664, 873179537,
            3907578303, 2898488985, 559532336, 1951693750, 3221546487, 519175878, 3817909883,
            4143965836, 2159038430, 2155451492, 984127081, 1552180477, 3998228380, 951987999,
            3271220480, 3991577644, 189427243, 1451593380, 2417528240, 2707909762, 2545325149,
            4092625458, 1678828086, 65074887, 2912853674, 2298196517, 1962123671, 3156663717,
            1809562653, 3422933930, 3543349121, 1539368201, 4132862547, 2117037713, 697944662,
            3761970455, 3210335685, 4061395188, 1399948007, 2797740984, 523361390, 2891000343,
            4043976998, 3948000788, 2806803391, 372268870, 3066648573, 1552197320, 1104893676,
            1977956692, 4206072635, 1777799765, 2593085983, 909587553, 701089400, 3025031477,
            3150914776, 3383493968, 3297968979, 2127114185, 347641566, 1133943045, 1397026960,
            1102135376, 1790048118, 1531899702, 38573247, 86358464, 807071035, 1322974764,
            3918796486, 2658009039, 1875612194, 2278918363, 4156398458,
        ],
    );
    // n < MUL_TOOM8H_THRESHOLD * 10 / 9
    test(
        vec![
            1131150821, 2762649368, 1291624341, 1701704353, 4014105561, 3682713698, 514896869,
            2382721993, 4199508292, 116228850, 1913167611, 2543927978, 3462810307, 2182535806,
            3234802163, 4243621064, 4189108519, 2844896515, 265654095, 2925399216, 1942537721,
            3688510290, 1467767823, 1331956526, 1810538674, 3416955279, 2622944711, 3883742491,
            3716395614, 2226266870, 4231113757, 1703472377, 799710037, 3188891105, 2002885312,
            863976785, 2197487335, 3973964671, 982134718, 3039352665, 4058841706, 3126556723,
            1839202656, 3512286394, 1526861314, 2857382087, 1509071714, 3983699181, 4164670109,
            3541034768, 3414363792, 3719311258, 4228436631, 418239225, 2810981500, 2839232135,
            75036670, 349836787, 995927099, 1154560390, 1157124967, 2338833107, 3519575136,
            3676349342, 1999912677, 1473285447, 3384834599, 3729173386, 837302670, 1824368274,
            4080054412, 3463347047, 2292431457, 4047304953, 3186147982, 797486141, 2414391350,
            621753596, 2992059534, 1538383233, 664053981, 3061928211, 3215272269, 266835070,
            2414626927, 159250143, 3019791116, 3731135237, 2761751093, 3586027201, 2089419276,
            374111952, 49970046, 2897511132, 849093074, 1002730932, 3171254030, 477351679,
            349956886, 1571756720, 2974023410, 2229070678, 1445469779, 3125204262, 2251629977,
            3617654578, 3758587650, 3379646707, 3221020164, 3946481152, 746980266, 445806733,
            3092441206, 2414172109, 45651552, 3218735738, 1981382211, 3339893115, 577943370,
            3262981881, 3145699413, 3050111476, 2776211838, 888798694, 1098018756, 2384093069,
            137109573, 3849877919, 816321891, 733291770, 1688860823, 3776150706, 259328987,
            1793361953, 1360633863, 2822514209, 1611568653, 3671864876, 2995705621, 1703631428,
            2545904596, 3558099294, 339073366, 1914245190, 2248240708, 2918919078, 2367951631,
            3244616755, 1246248837, 2724721481, 1977303106, 853273015, 609224845, 2572706277,
            4120826908, 3132172741, 2679460826, 1731116641, 1420934603, 4095172779, 2134926401,
            998210691, 3678534171, 2288544872, 2333609559, 3187493478, 497033878, 13547027,
            1366761551, 3620514533, 1846847912, 3066898750, 4029310316, 1785305517, 2975988788,
            84028222, 1604571422, 159814579, 3302598788, 1860412674, 3924970651, 3084289036,
            299916336, 2801290202, 1879794819, 3343450230, 2673079282, 3615958442, 3162274325,
            3102296518, 435434416, 2915209493, 1817171393, 1159766844, 574519135, 3033326838,
            2027440653, 1457685030, 2574873438, 877258212, 1477651381, 258103620, 4236228819,
            1480006308, 2237899379, 4229629566, 1151532728, 1869635395, 3423452052, 3699388043,
            91696809, 1622972763, 822248470, 1515292231, 3842486533, 3927210641, 3225680067,
            4254069260, 3886678620, 3984473786, 2759203157, 2517007583, 145365022, 1533952248,
            3917863954, 1567125726, 3108296518, 1454586200, 2011082282, 2132338201, 3182831171,
            1413497090, 1856759670, 1984669926, 4212692874, 1110589546, 1440032735, 3646801244,
            3610860056, 3043101171, 3857863470, 708594714, 3801293829, 84401414, 4009945641,
            718064348, 1782564232, 2884677460, 3817956052, 2164661851, 1032113674, 2265026833,
            3990818483, 1979791851, 1179815111, 1179610990, 3801644913, 2951826902, 1933447922,
            1907000683, 2045622439, 3615799713, 4178470833, 488268281, 1409188637, 1338007608,
            3944782180, 3885373568, 3104460402, 3927888479, 471271819, 3870427647, 4196319798,
            3583191843, 3310030186, 860772115, 2433189612, 830226736, 3738387750, 1448499320,
            526587241, 3892532590, 3439491908, 1039036501, 2388493771, 264726903, 3966258028,
            2505867608, 407881715, 1631490147, 2823006404, 3497117958, 646382286, 3107394453,
            3277949521, 439910091, 309065703, 1950804341, 1808416502, 170990188, 1335198213,
            689918674, 1582196175, 2640621496, 3498813308, 2761060243, 1678685681, 454638300,
            4004659669, 3681198397, 3976254726, 1940449540, 212889053, 1912817590, 1301852137,
            2300183575, 2626591779, 3662656365, 2241640523, 2073990699, 2843210521, 3907897499,
            2127053203, 3464740089, 2517063724, 849818543, 2198029686, 1607835696, 2158656964,
            2474427278, 3105729582, 2593228154, 3652599476, 2493295322, 4214474951, 2092751192,
            3508872416, 4135027724, 1087631006, 3869783862, 4127959478, 3950654826, 1413528055,
            1583176859, 3118004380, 3469658789, 166660010, 3732069246, 1165982209, 3249209142,
            3030024737, 4209637631, 1574902930, 612943597, 3575711404, 2421873039, 3084377476,
            826443943, 3566117097, 1367287788, 884174375, 160667863, 839942561, 124546248,
            3443852897, 1935836700, 3578696710, 3442653707, 3106215554, 956073431, 352475044,
            3325573670, 4056377273, 2444639044, 4059211486, 3187262860, 1232076586, 712845366,
            2490553931, 750933277, 1200249747, 4114847099, 3132331434, 426349171, 3418210348,
            1864124410, 3635934842, 1778322792, 1268045228, 1155805234, 3891131459, 78081971,
            2759073032, 2990099706, 752418656, 1424173464, 2440522876, 1954352637, 3476425702,
            1980817220, 3283383787, 3606231400, 510762389, 4244763535, 2869358935, 1727272135,
            3522246353, 1733965890, 274429005, 1074555950, 1116810589, 2059372124, 1433737439,
            686360791, 3524954413, 790420924, 253262937, 2490041017, 2988382494, 2680296403,
            740237358, 638968890, 3561449712, 1270014183, 2732717194, 2652066843, 1127846686,
            1905112070, 7000223, 2815346469, 3485672034, 4150256142, 1201712608, 782060943,
            3850587668, 891222391, 3919270279, 2284997530, 3355185596, 853556214, 2382672975,
            4082635614, 1975597308, 775008313, 1221881305, 318112932, 1558885629, 1659368995,
            2737245040, 3182289543, 2865953307, 1913563745, 3407843590, 2774667399, 2006733037,
            214221440, 2867329721, 1460609363, 1420414655, 2442726895, 2077873651, 2078741260,
            3351565491, 2650010589, 3624853117, 2808835283, 3576673605, 3312161027, 1089529182,
            3411999136, 3214717560, 2569067404, 1395383167, 2628670095, 2534091665, 3416849349,
            602644653, 3868242106, 780173614, 2918196647, 1069725684, 3173740663, 3441776760,
            1918895783, 2591986841, 2047011602, 4037432, 633731206, 2672531137, 3708159409,
            2150429215, 954500477, 3990097385, 1947492698, 981465130, 314252035, 358539692,
            683336340, 2361937249, 2060146559, 232682027, 87274822, 3435325468, 4227641462,
            882380594, 231040832, 3746812704, 502289657, 830742778, 3389856631, 2652175412,
            3688357856, 3281892315, 1707485812, 227398450, 531784725, 1476141529, 2868884010,
            1656814989, 2816953357, 1091559808, 1917641087, 1677755142, 548205597, 175354774,
            3985092082, 3309818895, 464474156, 4204834984, 3761500115, 2438523503, 1732610689,
            1486464139, 3967200098, 3929926820, 2339786049, 3907108412, 2199568695, 1134103910,
            2216911633, 2182031298, 2579739862, 570100824, 3289356324, 3458481331, 611877571,
            1507859299, 2274314160, 1548661374, 903468480, 264167483, 2119844238, 1038239445,
            2988435265, 2038849220, 2021865993, 666366893, 1683542644, 663579226, 2516381838,
            1452293108, 2860570530, 4048880023, 4066088025, 3363037289, 2542443950, 2325290119,
            4126749311, 3549516466, 2259054696, 1124113431, 2596211298, 926851034, 4100110238,
            619577504, 465050718, 921970188, 3443237807, 3185995153, 2512437958, 3138724608,
            3421198187, 1215660513, 2802265359, 3639819408, 698058093, 4005388493, 701032232,
            1900034464, 1258990473, 1384847467, 47742046, 2533738470, 4033217779, 193441436,
            1167926881, 563345579, 1064730454, 1028831057, 2118889296, 1922177050, 3759770599,
            762133197, 3305899630, 1774669125, 2184377046, 3697369449, 4032191246, 3613695996,
            2714184171, 672093641, 2806515914, 754799026, 2811057556, 3677282514, 1644648375,
            519012895, 2947700042, 1068870929, 1749850446, 2745609943, 3915641236, 1473746566,
            245175508, 464459969, 2300554864, 452081255, 3542824159, 3984931523, 4038093048,
            811698203, 3990065017, 1843168045, 102873045, 1872945131, 1381891297, 2689743436,
            156330831, 3030944325, 2925864612, 868161142, 1955093372, 2271793313, 1293536600,
            3877989118, 4085300196, 20015595, 1524783113, 3220067646, 1128665882, 1605056207,
            3769938324, 3278249586, 865516226, 2018942727, 4285193298, 4136394815, 18140432,
            1298007913, 619558910, 1468345138, 3640156579, 3844459024, 4251273955, 1279325353,
            1490675071, 3812253034, 1588374415, 1408352173, 1856222658, 3479408648, 2553632750,
            539602295, 2953721539, 3550404522, 2987339861, 3573803000, 2985536505, 3408426662,
            394679673, 2338150855, 233169574, 2666618942, 885970658, 1261112849, 3026593914,
            1941961461, 3178744470, 3418317636, 2483060546, 247068105, 3869710296, 2601474183,
            1861230264, 466844147, 365421277, 1647470055, 2545886518, 3344491344, 2743895143,
            2612409420, 3015491275, 2263288257, 3788192586, 3621947232, 3632971491, 2590893591,
            3078266930, 837964625, 1062932151, 2387310193, 4263324106, 3590937645, 2690575361,
            3471028939, 3052123108, 1287391629, 2780458428, 2899985132, 3768032123, 593582914,
            1049982970, 3417846725, 2745208959, 2638635678, 2782226812, 723243488, 2883204599,
            1861655363, 2193262251, 460750285, 408576776, 3151751571, 2348465332, 1090324024,
            2080133910, 1884601095, 1792700738, 1586206119, 588433151, 1694897587, 3243922990,
            3147195067, 704523940, 715280464, 2859196369, 2818686408, 3845709444, 388946443,
            3822371361, 1083710054, 3973525343, 890875638, 336962766, 879786542, 3372880597,
            4017818517, 4022694260, 1246618400, 3272410744, 2932065660, 3037109199, 1994060649,
            934925733, 2550662182, 3369254727, 3300198891, 1222413593, 364996956, 2915355551,
            2528303182, 1340653763, 6095745, 430607376, 2462322073, 82876788, 1168959908,
            1417636305, 1265099813, 274745957, 167508621, 3915190887, 4169873122, 2699401240,
            349817411, 1083358516, 378109903, 1137415528, 2610418640, 133616096, 1079889395,
            1596538242, 1340572700, 3806709899, 2995810782, 196324185, 2670063802, 2058666273,
            2243102740, 2109579437, 3319920398, 388799298, 1644474748, 3835051237, 2938119592,
            857157002, 3904318910, 3191603530, 4005173949, 2864727253, 1049195541, 1431710706,
            2394529501, 314388331, 3586260934, 1413117985, 1378439215, 90290944, 1187129087,
            2806417408, 2252578657, 731737960, 3976349288, 2835651723, 3336636332, 1381984503,
            1669124519, 3410912262, 3447243564, 222368697, 1603262029, 195964253, 1003881737,
            3008564716, 3332124267, 3723209179, 48076559, 3962702541, 3175563645, 3613059603,
            170958653, 1413948782, 2426947383, 1103046276, 3139837644, 502007526, 877737020,
            407264876, 765859135, 1474201609, 2991446344, 3468949411, 3551131726, 560361863,
            3036580569, 3430955843, 1011987611, 3299206602, 1953068741, 1760110431, 1246003603,
            1099977647, 39794154, 389004595, 3989513261, 2907906071, 1622738740, 458000748,
            1389814785, 699501716, 2230559, 2553609548, 1451109816, 3441722227, 3416954130,
            2885301526, 1740199906, 1803806248, 1403790177, 3516185322, 457833177, 1470646316,
            3450277077, 2082948067, 2481239364, 722376046, 2758592798, 2482526812, 4010504381,
            3378951917, 1539096335, 1599687582, 2811560884, 2435502051, 2900235322, 3627166120,
            32186692, 701703510, 2447124866, 1509277763, 2326977874, 1288896304, 230630067,
            4134237779, 2960340409, 2917586567, 1164733926, 24754896, 2143494083, 3622160753,
            1940106076, 3135397968, 3020065317, 1748012748, 1014590694, 162297287, 1327741722,
            746744365, 3185502087, 158350155,
        ],
        vec![
            603622954, 2186113344, 2211632492, 2411520388, 3589635543, 4086364596, 3581723392,
            2612098311, 2096044537, 1640167886, 3342490559, 2125968601, 1990634435, 312775010,
            1802349863, 1309411103, 3200864131, 1358335036, 1912893833, 1596337323, 2247665998,
            2443116949, 2420155681, 841076086, 377456615, 1237592486, 3216360690, 1624285201,
            3654260727, 2790733511, 204168525, 4052634612, 2854194678, 3030697959, 948115195,
            3826905149, 1976102477, 1784393101, 2995452496, 3261601101, 2842141116, 191128211,
            1816171240, 2015310936, 2049251282, 613801401, 3835986911, 2470139377, 1942210663,
            3899898568, 2985108866, 466048082, 1427695846, 860088895, 1905116312, 17072967,
            3747648444, 4050068534, 1235378754, 3463008343, 2901169501, 3732797830, 3827542306,
            1442668438, 2553056440, 3128009710, 2361840470, 2945391897, 2844092880, 1669579593,
            285906550, 271337390, 3550080313, 1550684000, 761190775, 1986821670, 2760227175,
            3755739359, 3195863504, 1506193392, 102572887, 3429355396, 2738466594, 2588290861,
            921241140, 4000693169, 4200573367, 494632512, 3030208655, 4097675912, 3273014929,
            1507497783, 1426537214, 1292494848, 737012202, 840807439, 4173254089, 2614555500,
            2112014072, 524226642, 4134209698, 3019212395, 1098411347, 1127762058, 2520698217,
            3618515874, 2710325152, 608562040, 3514989488, 4158363396, 306180876, 1211447956,
            507700449, 911736750, 920771768, 3055911518, 2660700314, 3162062346, 460147980,
            3893374896, 3335254211, 1730373325, 1769502379, 328248258, 3605468276, 839999978,
            2617035765, 3256832677, 4166868036, 3034242873, 866786060, 1439047189, 1075047697,
            3791824427, 2428657149, 1942106734, 3406726485, 1061929031, 1911794305, 2055938947,
            4130327586, 3752449664, 1741794117, 2088328119, 625641627, 315760669, 2840762267,
            327041843, 2880804433, 3266656983, 2181853630, 349055847, 1614300853, 3026780591,
            3723351880, 4108567046, 2344446900, 2195753474, 1660780233, 2121691315, 102176310,
            2695465705, 3089322092, 2775472883, 2630273841, 2862312016, 2071059637, 1584923974,
            609930669, 631828585, 1504369275, 892077659, 3793274532, 111247066, 576379360,
            3257765683, 2389261674, 2210132561, 623967505, 3475583657, 4078514517, 2696227314,
            423351810, 219536780, 1292034857, 3134390109, 2644943026, 2175174277, 854381939,
            1615329948, 1003209984, 1497561541, 1581742618, 3453870211, 1697610716, 1386823953,
            1754275998, 1049523617, 319480181, 52790852, 1843711621, 1677461984, 2268587847,
            1467575383, 809390384, 3208538160, 1710678484, 3852975493, 3491099676, 2208895838,
            67474001, 1909240027, 552833552, 1068516200, 797958994, 1336265228, 52799811,
            3497387824, 2615050498, 2306496091, 1509488357, 3175308944, 1400875928, 2613915127,
            4014015840, 3770610211, 4050294544, 1133059937, 1931794550, 609394840, 730823155,
            2274984932, 856801557, 2940954445, 1507833826, 3361523681, 4114500875, 4016167065,
            4145941303, 3897868338, 2892060643, 2413714784, 254604231, 966264223, 3162224073,
            4257953665, 1775093780, 4059868817, 229216133, 3095801819, 2780776724, 4197103660,
            3945827647, 3590005880, 3385750965, 588116955, 933606134, 2954149398, 3136897257,
            3742737011, 1904500440, 201319529, 1627670998, 1436294506, 2391068109, 2754913831,
            617553192, 1237348537, 155331642, 666659293, 2505670832, 589051162, 1617401511,
            778060751, 2180910952, 4141824369, 600328318, 4045490772, 4118525083, 916092943,
            3026682184, 2750156732, 1451420324, 1940219622, 2451125563, 1894319083, 712954796,
            1241142933, 1547315725, 2191677486, 3213688112, 3550409294, 1708221443, 295690779,
            4139342911, 4044286844, 2827851250, 3745891811, 1142267160, 1568307568, 4187843675,
            2744250115, 3543324184, 3231805406, 844623162, 552365416, 2085517327, 2950237187,
            3595863774, 1726025744, 3066980951, 2635434821, 3786966597, 3778968631, 2367918512,
            1544339264, 3675143945, 2263950208, 256073448, 570000958, 2196435922, 3645119110,
            1544421656, 3665474053, 2710076922, 3456896575, 1661288153, 798098177, 3205290044,
            3267217028, 2164126201, 991695109, 2360577181, 736096951, 580335383, 440415808,
            2970181697, 1174793452, 2790186381, 154139411, 682753359, 1362922244, 3445269063,
            3850397629, 3630608237, 999211182, 4270325568, 2222213569, 1671798056, 898355980,
            1426188949, 3343654679, 2919951295, 3693477162, 3895401157, 3560721913, 1888596458,
            181288724, 3829829389, 1579972422, 3144117276, 199801876, 4054633683, 525925388,
            3648577609, 286807073, 4061577217, 3752567147, 1201522573, 3610440980, 3336089737,
            4143647920, 1346119142, 356944187, 3589071297, 331350548, 443179702, 4287676723,
            3902224692, 670781524, 1151314689, 2224154332, 2643145761, 2418685337, 2754610868,
            1367435799, 989379597, 3280309063, 664367389, 3695457682, 2932182363, 1637715984,
            3078239282, 3890423242, 694186670, 1022735416, 3766855053, 96343600, 2950575721,
            3694574064, 2063490620, 628896960, 3009419511, 650278649, 217113522, 4054867950,
            4085775949, 2253647601, 1323118326, 2776229090, 387312318, 3830031367, 2855934165,
            1727237588, 3168211450, 985024091, 4065976202, 4100263284, 920460504, 1019722484,
            736802555, 1091160058, 3986567293, 3909716414, 2117717711, 1378801332, 3582605439,
            3974837927, 1975607076, 341568791, 772919682, 1404531926, 2319942259, 2541979115,
            1537431363, 3469010753, 2351635824, 2574168815, 471490424, 429652049, 1888748017,
            256119513, 2622167989, 3890927619, 734423772, 2108123100, 2720692858, 3149485041,
            3738523581, 2699573275, 2549388345, 2521302893, 2530474986, 3520669288, 417822002,
            3240327386, 1661401307, 882983082, 1924087083, 4263722671, 154785737, 2892272366,
            2096794030, 3065733707, 1274676481, 3173744694, 3170057336, 2560528531, 1992114189,
            763608132, 886242142, 2381935549, 2696870385, 1183400652, 632435857, 1114549236,
            792694237, 1050118375, 3043570987, 408243821, 3246069230, 3595014201, 4242308859,
            2732256078, 417888811, 157189594, 1578645677, 979394949, 2715618148, 2084946492,
            2779545872, 2746594737, 3600471957, 3690418809, 80909094, 479165038, 1299019782,
            4248583974, 2122215085, 4100895072, 1510073775, 4108853940, 21876970, 3804082593,
            1194473031, 1013294843, 797533856, 3555511188, 712992910, 3147433210, 230132027,
            1173487980, 4269226972, 3090952473, 1190923232, 1679528279, 769279893, 1422455341,
            1485744354, 391718383, 376237997, 2772702841, 3412931239, 3901610169, 2108304638,
            2830169940, 3849960095, 3043501233, 3973846143, 1627749584, 2509012508, 2993028673,
            3443779088, 2629553481, 3345770078, 417661904, 299926134, 4221411771, 4277090614,
            1911866219, 1551326585, 93131922, 2142950833, 998841580, 2131273819, 264704024,
            72761473, 311706753, 2773201027, 1819604430, 1325781384, 1828296785, 475315722,
            2752215033, 140320306, 1043096704, 855365740, 2476726857, 2581734598, 3861106067,
            1436208963, 3415450549, 3570329317, 2687213974, 2613842059, 516462296, 3037378709,
            3263570551, 1681420526, 3415302057, 3511450549, 3273504333, 494102854, 304288318,
            3697281980, 1996479758, 1635215124, 47632440, 22355542, 906188237, 4149186094,
            3151082744, 2531819048, 1644757840, 3101983578, 2011269244, 3866138172, 2127822384,
            1903103074, 3932219954, 1821169710, 169278046, 653152755, 1929628869, 1986843845,
            1656941273, 1820043656, 2237572096, 3650186585, 3171963679, 4233697440, 3755777109,
            3448968195, 133782836, 4267699280, 2851793115, 617641793, 3256436523, 1407468314,
            4096930119, 1868261036, 2551660459, 17209088, 1655418735, 499829078, 3115810383,
            2942436423, 1117668901, 4054638152, 3401715738, 386251371, 1788551278, 541357881,
            4092916714, 2788358548, 400852308, 2632328808, 3366533041, 901146853, 3250917102,
            1993332902, 1740749354, 3817981431, 2227569979, 4241229228, 65274376, 1935767139,
            3249336235, 3922555776, 921336913, 2814396307, 2667550257, 2055331186, 30339902,
            845791404, 3302805554, 2378743215, 3928499493, 2035920961, 4033017204, 3562284680,
            2948673159, 1367405928, 2477125781, 724878315, 618610843, 3464131396, 4106290593,
            2761582218, 1911670733, 2255224976, 679995901, 1694101202, 1457350452, 2415077238,
            3832605769, 1548512392, 3910956093, 2960448392, 235679115, 1336039703, 4056841792,
            2704719451, 1221241812, 1530676776, 758875004, 3989933820, 2315326962, 1755061483,
            984103973, 3552706434, 4146283304, 1900596987, 3224925366, 4289171038, 980557750,
            2062175350, 3065172916, 108844606, 293646367, 3415841496, 152825526, 2072381275,
            4285030108, 2847377365, 1313245709, 1976515833, 484145483, 2307919762, 1902482190,
            1346944178, 353282945, 4113734314, 1863262682, 1245717043, 2241864885, 2280528335,
            1019309397, 3289776976, 2376807409, 2952610417, 103415167, 3638228557, 3235194883,
            3241161224, 2125883305, 1232190514, 3549022975, 149807933, 2961278754, 2383239375,
            127409706, 223990857, 1600263562, 3325399391, 2741861086, 244824352, 85948473,
            3124738586, 3484658404, 2949005416, 3110472205, 1541858124, 3817776205, 69164118,
            2954933199, 2925668013, 162217966, 547673095, 4181924147, 3823145053, 80676848,
            868737602, 2205414045, 2279798936, 102486197, 2587491480, 2241109714, 3451004219,
            1101855332, 1254174284, 4162654397, 2075550533, 3279994730, 511501950, 1774750940,
            2330903266, 2010908807, 1405100744, 2399290465, 2186798761, 859965651, 680542282,
            2464087287, 1717488673, 1106965230, 132594854, 1192599975, 2168482389, 2337484280,
            1431281627, 2161439863, 731837641, 753400083, 718352079, 2920193564, 4014452495,
            2840575861, 850092154, 4013385863, 2889779981, 1887731992, 877392739, 3501145229,
            1077314268, 1838346422, 1325751328, 2289785549, 1040644978, 3430927961, 2641937927,
            2285310825, 2723705356, 3969476694, 193167645, 2688798767, 1812500605, 693030278,
            3173921056, 2188596291, 2180502082, 2208231604, 1512410467, 2765076968, 3989339249,
            2744873321, 422780839, 2753112367, 861241423, 905851909, 1219406342, 3083085811,
            2111384879, 2487677895, 362839625, 2300647559, 2252314956, 38471328, 3558718806,
            1713409176, 708493886, 2645700082, 2196532746, 1397262287, 612919750, 1411685900,
            1134021085, 3675861851, 2168510458, 173154823, 2489748386, 2499456938, 2828871069,
            3373056478, 2660114090, 2270829594, 3459032228, 1357929287, 1162183927, 1097818577,
            1542913661, 1981968930, 2944755083, 579671294, 147480949, 1988196545, 777407838,
            2354930885, 2534601251, 2766511651, 68413970, 3533296816, 2575956638, 1355214150,
            2719147503, 850624539, 3284264812, 3928845488, 594971150, 549980540, 1796991397,
            776876250, 1460934050, 2463458608, 1640602524, 2160282188, 381030894, 2276755467,
            3897004968, 1525634949, 2084303318, 4038502302, 650730684, 3893039590, 2120711163,
            1075785968, 642329759, 4286493776, 298483904, 576520111, 670640982, 501843005,
            2317149359, 1723210307, 2714699821, 2647759513, 3372861558, 3302356979, 1135050697,
            1794914040, 2501115240, 1473307986, 4055431991, 386019549, 1642338927, 817175303,
            63704969, 1918346370, 1060455488, 3296205488, 2611534290, 319202585, 3589598600,
            1061424333, 256294593, 2086764847, 1889683341, 324402820, 4230133797, 971777609,
            2913835299, 567526498, 3967034861, 2199121094, 2595932876, 3882641499, 3024547071,
            2251608750, 1562313747, 3646762714,
        ],
        vec![10; 1840],
        &[
            925805970, 771512525, 1321505884, 4093572597, 758716614, 1377765832, 1278203380,
            1001888643, 1355158095, 201085215, 4149044771, 2521855414, 4152533261, 3002132831,
            4155360674, 1795934109, 2247306354, 2834452223, 3656644513, 2792060749, 3230919138,
            483669446, 3693350164, 2766501057, 329182922, 2273808186, 1047344319, 3115798204,
            3566682772, 2408293239, 2794877731, 698720575, 327005792, 1558338384, 1008199867,
            2492809980, 2810143023, 1784882162, 524641759, 928770560, 1130801733, 4222233720,
            195758472, 1891783101, 413324813, 3563105984, 4225585084, 205810396, 2545279346,
            3861389278, 2373143813, 4024119708, 780120208, 3432178227, 1555529931, 2554973234,
            2502444226, 3344683717, 1641184112, 98587931, 637912572, 1021943377, 4037505911,
            614639139, 4194497843, 3049554202, 637648248, 2123348064, 2634366226, 3207837322,
            3066784253, 2994933327, 1976651548, 2366296173, 1641868749, 82351438, 3355135280,
            1553860281, 1605364581, 4075743977, 2941712013, 3386363575, 161305709, 3498025167,
            3591439792, 3723487074, 1286356811, 2869673859, 3058493670, 1421607538, 550853035,
            912260189, 555605432, 2564864712, 2716459709, 3225217761, 1778511468, 3587420558,
            1207869481, 2862990086, 4126739672, 3193798621, 3165324498, 76671852, 3202055203,
            3698858085, 2586219907, 2247010126, 3962725977, 2619019864, 2122584571, 2759072926,
            2355594856, 2680875986, 3809288380, 3113157553, 2998504932, 1438335802, 4042229352,
            3236956253, 415640042, 2304719113, 476088551, 1007695371, 2386089176, 2181311976,
            736590680, 89015838, 391491629, 638291307, 2877449105, 2962906061, 3979685552,
            3627063001, 492677310, 2231326821, 743398531, 1133825751, 1719921083, 1840883029,
            1166898759, 1601037521, 2409186612, 1623857150, 2793429784, 1436913897, 4140973832,
            582129472, 4207088238, 3200623818, 1475586379, 3384915939, 743709146, 2191495369,
            3563177671, 728383298, 3754965841, 3795767466, 4009441303, 406982577, 3135143383,
            1456106797, 4160967347, 2816553701, 3256668188, 1014590891, 728446496, 2331482373,
            2184086986, 2476758117, 815465765, 1957139615, 93446988, 3589331411, 3457536764,
            1745564725, 244069742, 3319690805, 819795556, 1486648551, 402515678, 1904027145,
            2183046265, 1437045043, 3646826056, 3694590855, 3691191903, 912588953, 2869059243,
            915090531, 1308341773, 1914740545, 1372995357, 1821589353, 1750436980, 3326691416,
            1030623833, 1495253922, 34912358, 1499274973, 998994535, 2935614243, 1565643646,
            3474712008, 2524137404, 3968547971, 732339375, 3134376500, 3712532227, 1085750881,
            2607575268, 1414329062, 583507621, 2489115057, 1425727804, 624607973, 3077024829,
            2685992057, 3682897129, 4071136447, 1727489833, 21203108, 3392758652, 509383349,
            3119006823, 3045101600, 4129122439, 976347783, 750957340, 3621119842, 119059944,
            3926834627, 3278710060, 3524620828, 2053225005, 1628028369, 1741363163, 4055830757,
            877491867, 1503296989, 3349399277, 348921314, 2220238102, 2327127101, 371334052,
            3730431190, 4254998900, 3276010967, 884857325, 2799001549, 551761767, 3358096790,
            2020737989, 2913273611, 795353920, 995285043, 1255353878, 1081464851, 1485661898,
            248227391, 2646461730, 288845121, 990971374, 4151523546, 850493727, 427991127,
            2225569843, 1598181146, 924478291, 1006667974, 1424598842, 2544076586, 3839052630,
            2039302967, 1751844817, 4119169517, 1378503947, 2112648581, 486800876, 1589075140,
            1774624325, 3380949714, 942159303, 1934386105, 1853027873, 1625283567, 1798870407,
            945414724, 1916704482, 1076254981, 3546161383, 2299585539, 3247652613, 731481822,
            1011891129, 2768863308, 1813803045, 3860051875, 1174964707, 1324160940, 2574847612,
            3513978083, 2554787041, 68699746, 1212730198, 996237523, 2736940550, 508920579,
            174371335, 1886271926, 3087461373, 2201998413, 385737266, 2695461851, 3309543132,
            1687035998, 692717227, 569529002, 642730495, 1998450569, 2877673596, 782260981,
            714386348, 3796153446, 3810357608, 1220822655, 37559611, 3062930083, 1952046909,
            2938302747, 1937200848, 139230150, 3652241605, 3385303728, 3427356966, 2415007129,
            2062827063, 3399013574, 1412210998, 3780689301, 3309010376, 2776522750, 788159042,
            2338674637, 3597251270, 1111645430, 2344936207, 987533024, 312063196, 2164245832,
            2981634349, 4146252745, 509985595, 473738885, 4080179792, 767682002, 742937862,
            3390341429, 1201520568, 2705803790, 1096534023, 396035895, 3045556830, 262555759,
            2223158076, 2460071430, 537129776, 2525318176, 2465664490, 1718928604, 1677204238,
            3488426978, 3891524565, 2842016557, 2193145485, 978116097, 1615400737, 2757085537,
            2962918904, 2163577224, 4068394581, 3963381668, 3027498111, 413627370, 3985257787,
            1911780465, 1431948560, 899666734, 3073534561, 3931614071, 59372171, 123789420,
            1311815775, 1600081512, 3500852529, 482022179, 1349872136, 2023099554, 1623971264,
            2385783366, 335038849, 4237603646, 1512003698, 1626113404, 3863467432, 503775132,
            185919438, 3413070813, 769549664, 277742984, 1457016660, 3916310980, 3679543908,
            428500520, 291415144, 382143301, 3479675016, 1558773305, 3828015203, 740311290,
            1658202239, 1352230160, 2929801762, 1144182359, 4260518531, 3904249580, 38453053,
            519928994, 611178254, 1815173805, 2687791381, 3576348672, 2210369382, 3101623249,
            98144578, 4159402306, 2478115488, 3668828837, 1846949400, 4015333955, 1478301555,
            2864273669, 2676396505, 2824169479, 2008756433, 871452488, 197076407, 493093639,
            3590505476, 3419603591, 1983646327, 4172389974, 1331126951, 2749313151, 3914363144,
            838421991, 3713866955, 66943799, 3022889908, 905930887, 3450837393, 3122388323,
            3601001575, 1461966185, 1217535252, 862426054, 3891322611, 4057584483, 4137459924,
            3050986698, 3775562735, 2206917997, 1326425299, 2177316293, 665366502, 1789591450,
            3869393426, 4111791353, 2042667844, 3888104816, 477695341, 1400818483, 391421351,
            2511869577, 1543099376, 522205537, 3741717060, 3983781829, 1450661430, 1952049614,
            4059193972, 69169697, 3733732140, 2178094107, 3638192198, 2483181869, 4237963289,
            2635888235, 625414314, 2309845963, 3133618224, 1030061929, 2628713359, 147776022,
            3665551893, 2606716720, 450703348, 1433078851, 665870068, 4274367632, 2346780289,
            34636636, 3570617418, 2610375041, 1570695957, 3235022132, 650696914, 1579637045,
            3924586750, 4122461112, 3973884299, 3203913749, 1074902525, 2038914363, 1313155224,
            280192559, 2654627254, 3904119153, 4289367389, 3931774924, 4088574946, 2110508780,
            1965188425, 3870415513, 3028849533, 2643890058, 3118914716, 4132754639, 2063814685,
            2477010069, 742144369, 3675862178, 1638220213, 1788413389, 3612081483, 2827592335,
            4269582882, 3849921609, 1214642500, 3132507662, 460322913, 3555344490, 2582789072,
            2773409763, 3731720324, 725828860, 4142291526, 1289918833, 2376436341, 2080195956,
            3652068261, 2052975451, 1056381829, 1504404622, 3530088199, 2543774820, 3588528773,
            1181550632, 4134199347, 3106435739, 2666774217, 3422590531, 3887880807, 4070997105,
            1394848137, 701703628, 3061521160, 2887272490, 2229516066, 1310837786, 3154190631,
            711892595, 2435668654, 4100746898, 366709793, 2800825180, 3469579669, 1872527030,
            558351001, 1574511606, 3461209655, 1498408413, 1726832352, 1807209931, 1051547963,
            2514355744, 3694086296, 3693097900, 169040251, 1625096327, 247216005, 1690358091,
            1853931622, 2241580553, 2665852926, 378855913, 2849826467, 2882598381, 1966643823,
            3863600372, 570512458, 89553660, 1580933547, 1670795700, 1701383225, 239477568,
            663996049, 1663598319, 1774418754, 2745157344, 3324324155, 3068121254, 2019212774,
            3363185868, 1017744423, 1422898847, 3076406441, 3863671242, 2045305657, 2537743046,
            3610837965, 956029186, 1782391421, 1492413923, 3211086299, 165767576, 2846934457,
            3007723858, 1141836320, 728275693, 376616587, 2573940874, 2162417375, 2260336910,
            503501143, 165113603, 3530206110, 2914422259, 1430643811, 769845616, 4213816224,
            3629319288, 4239130817, 2081610750, 625758813, 3255558354, 3479654242, 2472621110,
            3007522636, 2750717810, 3286123194, 731654699, 2774722656, 3054704647, 3343723513,
            3353349653, 3916558188, 4002272233, 2120337200, 413996446, 2630363679, 2841712842,
            2347010620, 1903664219, 2118706367, 4121870331, 4262431689, 3571095308, 4041525390,
            3390066445, 927914151, 2343554013, 1134637778, 3558586975, 18737389, 2499628916,
            1647908776, 3587615205, 1651636386, 3701620970, 3344465418, 406209565, 1774097768,
            638612711, 1894889044, 975120431, 1901267275, 3825095883, 3013288190, 1213152309,
            4081208841, 2283263447, 3257861369, 566807683, 766774226, 3630232255, 2719893472,
            2539687707, 3216385587, 2660398423, 654074066, 1010432189, 3431364371, 4163956052,
            3832935048, 156489928, 4188655690, 1306690249, 98975214, 2421098560, 4163230789,
            4156164818, 4443391, 617931997, 4154608614, 100420976, 2222597381, 2417575506,
            2990762034, 204752919, 3415006628, 3522988641, 835715926, 156827736, 2308716058,
            1572542144, 184997832, 157493958, 940407358, 3759427593, 2158763575, 1564687549,
            3909269978, 1283986657, 2367598132, 1568363717, 1710227345, 2793907548, 2427230705,
            2893825635, 3768618922, 4124795081, 810037070, 4125345353, 3607694888, 770621562,
            632370000, 674117742, 765128043, 1173992895, 3674396824, 2526304384, 3829190715,
            775137268, 3029466301, 2820944962, 3085195001, 2621306925, 2125299873, 2214882737,
            513034349, 908126002, 3167919913, 1027217000, 1178561950, 511143524, 985493719,
            1655744880, 2033154762, 1280998575, 3453548532, 1570014775, 2222753891, 3327333588,
            2154641854, 1735888068, 1817079241, 2722314559, 1762274850, 1167853659, 2392945518,
            196410344, 2937981909, 1154226053, 4232721914, 700255979, 2415771290, 1791869427,
            2898400848, 792514249, 3599536910, 3227896255, 1529237487, 2400490460, 1826096927,
            3142666937, 2785566731, 2723268878, 2079318688, 4034165354, 958450787, 1749435564,
            3977035150, 3576602733, 729666328, 72221437, 1176330488, 3920869422, 3994801636,
            2732985628, 1490190123, 1354581325, 568851886, 2669564985, 1060093818, 3170119834,
            3226579436, 764079092, 1913198946, 1083783781, 3261947326, 380306393, 4209390001,
            2158391567, 1689298052, 1046236714, 442820313, 2757723527, 3143120919, 4267903837,
            3015944922, 1574598807, 2206549514, 4259852673, 442217304, 1830366479, 813570743,
            365463383, 3543466921, 3138253410, 2683541076, 638143597, 995642363, 2769878603,
            4107223702, 3481953453, 3133262725, 3674261732, 1033288545, 3669732737, 3503245892,
            1530461030, 213751298, 1629050977, 375601856, 3395574573, 1885945502, 1714265586,
            97662695, 2156915149, 148240149, 2725333961, 1842005317, 2670201827, 3018625279,
            2036280580, 2241502128, 2888719467, 472203886, 1658540185, 3258448659, 2760284408,
            3494196803, 3420499172, 2950901152, 4276940915, 2202303771, 1096785836, 1693282825,
            1017323714, 954195871, 659807759, 2833714030, 2600259137, 2719988621, 1351376955,
            889846153, 1588673264, 1457310902, 3149228705, 1509379998, 904691368, 3109598917,
            2820147688, 2098775601, 556249763, 2898076541, 1003774548, 3470807399, 552610489,
            3623150789, 2629316482, 1385503428, 3451073512, 997009862, 3235185265, 2184096609,
            3290579922, 171379862, 3550817154,
        ],
    );
    // n >= MUL_TOOM8H_THRESHOLD * 10 / 9
    test(
        vec![
            3325828688, 2222275271, 2251341024, 536425450, 4031282462, 1974932579, 2802802687,
            2494652102, 4097509118, 3929993760, 2523272424, 3991617974, 1383705144, 964369450,
            4021179190, 2350994587, 3952940920, 2309645523, 4239355231, 2251911575, 101330509,
            33531098, 3923438820, 3326248612, 3928986797, 3712073953, 656648130, 3992081850,
            2462208525, 1232308887, 3597612252, 355901660, 210877106, 2675099515, 3078639028,
            3753546437, 2179616483, 3320544043, 4275906121, 925959266, 3421489454, 4036352291,
            3528964180, 1961636686, 4029362615, 4282725968, 1508419584, 454322447, 1001429999,
            2787320225, 2760755036, 1794472322, 532278069, 1568975823, 813350455, 1179027655,
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            2989458960, 1408484683, 2889663583, 3518183569, 4157181297, 2205842269, 1585684381,
            391762939, 2611826234, 1196804558, 1572135490, 3975160311, 2275902996, 1069102622,
            1315683334, 3852967713, 3301170698, 671161065, 128192467, 2613903289, 1009831606,
            3749541003, 4268007757, 3092087731, 2140417700, 4096277941, 3660903771, 614384141,
            531790068, 1909595317, 860446255, 3382696660, 1061474464, 3069773013, 3315525987,
            3523354010, 2175878609, 3945364084, 1871031220, 1024296174, 2318503761, 3880021755,
            3483182385, 1136511304, 1854660657, 1351215670, 665018554, 200157670, 2960727314,
            4133284053, 545593913, 1878146619, 4080637287, 1319623815, 1371326109, 1538817431,
            1523233024, 113264668, 129051258, 2403826474, 3690426422, 1876099463, 3478112649,
            2967083172, 3506759557, 409569116, 303290950, 129270085, 2185938088, 1654816429,
            1606016066, 1937302705, 2748203621, 182457345, 4251467861, 4087619332, 1455766758,
            16900151, 965491445, 2811127049, 30198978, 3752372717, 2055927564, 274588215,
            3391994008, 1128217088, 347809028, 3079847934, 2217407060, 425522097, 2570086835,
            2332474322, 3806978544, 185777147, 2699474347, 3590619670, 2292054738, 2754393328,
            1364967129, 3456367406, 3229262504, 3058183589, 3530281963, 1260299809, 2813856498,
            1699609618, 1560668741, 3219892482, 1660863042, 2699447087, 1139225248, 1391362567,
            2863783940, 3505675545, 177973681, 2882782098, 3651046939, 2456664276, 1206225175,
            2580372242, 861145421, 2184732085, 2769725519, 2282301357, 293785, 2972930264,
            2386258075, 3859546565, 1169200071, 889331732, 2826596513, 817584661, 3393024390,
            1855368622, 1827205276, 2387127529, 2630010835, 3209679365, 418840491, 884209449,
            2057532721, 3963456408, 2146511566, 3657939615, 3357975902, 1077069037, 724050579,
            3103467640, 3641072139, 2311523389, 289677346, 2339409410, 593745130, 2263567727,
            138391246, 796328585, 2755156236, 2335316903, 2840103332, 2555558267, 4191162130,
            2041604517, 1454327959, 2762012248, 345711112, 3271322778, 251706744, 1529366113,
            1560060753, 1273744532, 1745715986, 3472355943, 4216660608, 2700388481, 356464407,
            3241914579, 2079624535, 2335385338, 1915268218, 1444165795, 909641004, 3058658356,
            2994984668, 478335584, 1460779062, 3467507749, 1754767550, 1567226851, 1002377325,
            3381130756, 267437249, 2121264436, 253481028, 936579317, 1351715032, 3705651480,
            320805320, 2843650545, 513701327, 4215594992, 917564150, 479566665, 859669441,
            3157609161, 1488471594, 2176388201, 3238827013, 2441825796, 4172095140, 2146136291,
            1038154134, 2320185255, 837531952, 3680644283, 2246178890, 1376172528, 1150716697,
            4062481636, 3411210837, 4222364616, 1565814963, 1958710568, 3912317092, 980972994,
            878840575, 3785073185, 3184461301, 2896839434, 1329190240, 1611142107, 1066960053,
            3030553308, 2739555728, 1219677550, 1319663819, 3807245276, 3038804156, 3975511475,
            3474347779, 1787854544, 601721716, 2066121273, 1574211264, 2629698714, 942513094,
            1970368862, 253914275, 2798995017, 521161377, 4169584747, 1284753624, 1230700315,
            1384968294, 1964859012, 3291627178, 1980345114, 2549783785, 3965567049, 1871888126,
            2413764615, 3746715727, 47085565, 3023290394, 2113006968, 2213295793, 3257150141,
            4076997720, 1957602743, 2506897077, 3936832338, 2584432072, 3577991725, 3315218282,
            3479103036, 1346566712, 2371604946, 2925130936, 1641375567, 2326216376, 2392362615,
            3415032383, 1114138902, 2782317125, 3786087099, 2257642242, 3028343849, 2677315638,
            2362678290, 1186576050, 2383638912, 508976689, 1371440287, 157924594, 578155066,
            3045004846, 1531823852, 4127560618, 193156585, 885851934, 393568866, 2698643032,
            1487115201, 1785690912, 1560880139, 3506823440, 2249790562, 2196069771, 1655354644,
            1502736684, 2846902313, 3224146927, 1069425847, 1484301171, 3937349528, 3672862019,
            27599350, 3951201728, 346872759, 3254389195, 344295907, 2578553021, 923584949,
            3534810913, 2615758701, 638597905, 271997715, 3258597336, 3729321294, 2555257257,
            3160826970, 2162970558, 3448099455, 4067658524, 2977860211, 711143050, 3898990729,
            477305732, 4126099437, 2285319322, 203339387, 2313974244, 3497142096, 3829537435,
            2373684329, 1580063789, 1630563529, 4181047728, 4251813960, 2633137079, 239130144,
            3187401945, 2137440975, 1756486693, 835326208, 1219590260, 9685703, 2802769936,
            2828332335, 3395480672, 159349648, 1474549022, 753761752, 1033399146, 2663571984,
            3293328810, 1708860985, 2775321734, 1290639360, 3469415209, 1932741667, 4131857604,
            3548751506, 3873065925, 1317695774, 3167730054, 2212798570, 963071706, 2239017839,
            1663037918, 2024879418, 1241586100, 2977324887, 3668861062, 1460374273, 1519821695,
            4149671041, 3603428895, 2544181925, 1881748848, 1326890903, 934934583, 4041040169,
            1251595343, 330283292, 251256048, 2781853181, 1285941088, 3857270978, 2172118120,
            2411830912, 4263916993, 1501520015, 1668582518, 4232592653, 879763972, 2835329802,
            2391710926, 2956348612, 1044031187, 2315020555, 832842187, 1640823936, 3687293347,
            3245417753, 1428535947, 3947019553, 2520875375, 1870345747, 1192441840, 3799658925,
            3361841552, 346211097, 2455121685, 883553097, 3147539750, 3584951361, 1998974973,
            3410409445, 1192475577, 1099659862, 3119506960, 2253622822, 1486966019, 4268179280,
            3660479674, 3393207880, 244989765, 3307625178, 2228507794, 380460232, 3068292465,
            4049554096, 3930654451, 2211137620, 2857990237, 2174742086, 406693768, 3903681170,
            2502874185, 337283200, 2457367138, 2750431953, 718191090, 4292594176, 4100702015,
            3730247801, 892058377, 4270730729, 1475580269, 1364594981, 498258814, 1627557888,
            1445371571, 381298578, 3302152308, 1501315700, 1540275847, 1508419086, 2490558448,
            2211045301, 1960092236, 764821667, 3011598950, 2610267528, 1305693830, 1576485405,
            482671602, 939273544, 229216422, 1132377588, 1530307612, 2725258345, 1846376247,
            2496250877, 2069965191, 2820337527, 1422645778, 3199513164, 399431965, 2806995769,
            1924011870, 3052206613, 2926865488, 1616505509, 2747673810, 1857370974, 2194952150,
            1497926871, 3238231671, 3731302543, 2809222691, 1647371626, 4292916721, 3256825234,
            3570979652, 3007380634, 2699365431, 2248095940, 885821273, 2678808130, 3323361718,
            1143883958, 30479033, 2004872945, 3382927648, 2168115449, 3511946758, 278718047,
            4014380536, 1096793656, 1075537158, 2961900536, 3710219996, 2157081806, 4239096658,
            831258008, 3208663634, 1065180774, 1716500895, 2672567069, 1232298720, 2125798236,
            134823113, 3792486128, 3436278410, 2111754152, 942157649, 2586630610, 806131922,
            738294633, 637501765, 1534594581, 80662048, 2778145971, 1982921733, 1684072932,
            3372420013, 3660171935, 2135748383, 2694039659, 377728688, 700503753, 2985608912,
            1084882191, 4151983585, 1926421903, 3882296979, 710544755, 797297863, 1874922381,
            600821424, 3469363770, 2976113533, 3097650285, 3213892345, 4283796693, 3738314537,
            584844598, 1238389442, 328722752, 2261560780, 1963218488, 2722962954, 1970611970,
            3995953308, 1850769515, 3152074077, 1001957645, 2384943533, 3877044968, 1975105919,
            1107878264, 2803250607, 3005721228, 1384517066, 2059492073, 4218640871, 880506282,
            4072429242, 1924150062, 4080336746, 203753502, 2881428894, 1944674533, 2510372468,
            2208936106, 160544268, 2169335406, 1295089250, 1389517169, 601874109, 3482835876,
            995715955, 860499899, 3257518826, 1582699703, 811345812, 865361290, 3350101589,
            2302946008, 526905664, 3463993986, 3786007662, 1461421857, 558553300, 2659196735,
            1878306353, 2120863173, 1521235460, 1668716843, 342506011, 1304470509, 1883246634,
            904885016, 851659242, 618465764, 62782100, 3904388641, 3401400130, 3033132634,
            3695267353, 4184494689, 2096681402, 2136444941, 2379668661, 3570388220, 3650934881,
            845257826, 1658386111, 216440227, 1448252242, 3867938137, 1041551940, 1271424127,
            1694854790, 2618966358, 1212830768, 2944316262, 3255928108, 1311149209, 1634132716,
            46015894, 1762774538, 3731249278, 3730743730, 4122659132, 4259690078, 2131268672,
            1847903623, 2590863134, 1598577933, 2201759887, 2734226325, 3886633845, 673785124,
            1543386385, 2392366384, 1010403234, 1157937717, 1379471091, 2428469664, 778717505,
            2131414834, 690273672, 1633129278, 275458335, 2948558713, 3736213388, 1165582721,
            619527248, 3580718374, 2331959084, 4015892607, 22218657, 57793748, 78895829,
            2261931181, 2176427545, 254353123, 288354796, 1811254416, 4175221279, 1999304075,
            2243073703, 2406263731, 3607071103, 2509308494, 4227058988, 459041177, 1288003499,
            171257138, 1527074103, 946436740, 4096275409, 3439222084, 1039960427, 682450971,
            624577877, 2383738920, 3781585168, 1998082771, 456216047, 4084776014, 2465435506,
            1212194082, 2219178103, 3115504881, 782294840, 3975566931, 865020752, 3621258027,
            19776526, 3786071932, 3553320495, 1278472279, 360299885, 101923276, 30803414,
            705340594, 3798470694, 1725093175, 3767628802, 2745865016, 2628443054, 260876871,
            511035750, 4013822465, 52914465, 1896658602, 1346680681, 2022488278, 1329922307,
            3852700935, 834456360, 1442297319, 842245334,
        ],
    );
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_low_same_length_divide_and_conquer_shared_scratch_fail_1() {
    let mut out = vec![10, 10, 10, 10, 10];
    limbs_mul_low_same_length_divide_and_conquer_shared_scratch(&mut out, &[6, 7], &[1, 2, 3]);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_low_same_length_divide_and_conquer_shared_scratch_fail_2() {
    let mut out = vec![10];
    limbs_mul_low_same_length_divide_and_conquer_shared_scratch(&mut out, &[6, 7], &[1, 2]);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_low_same_length_divide_and_conquer_shared_scratch_fail_3() {
    let mut out = vec![10];
    limbs_mul_low_same_length_divide_and_conquer_shared_scratch(&mut out, &[2], &[3]);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_low_same_length_divide_and_conquer_fail_1() {
    let mut out = vec![10, 10, 10, 10, 10];
    let mut scratch = vec![0; 6];
    limbs_mul_low_same_length_divide_and_conquer(&mut out, &[6, 7], &[1, 2, 3], &mut scratch);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_low_same_length_divide_and_conquer_fail_2() {
    let mut out = vec![10];
    let mut scratch = vec![0; 4];
    limbs_mul_low_same_length_divide_and_conquer(&mut out, &[6, 7], &[1, 2], &mut scratch);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_low_same_length_divide_and_conquer_fail_3() {
    let mut out = vec![10];
    let mut scratch = vec![0; 6];
    limbs_mul_low_same_length_divide_and_conquer(&mut out, &[2], &[3], &mut scratch);
}

#[test]
fn limbs_mul_low_same_length_divide_and_conquer_properties() {
    let mut config = GenConfig::new();
    config.insert("mean_length_n", 512);
    config.insert("mean_stripe_n", 256 << Limb::LOG_WIDTH);
    unsigned_vec_triple_gen_var_25().test_properties_with_config(
        &config,
        |(out_before, xs, ys)| {
            let mut out = out_before.to_vec();
            limbs_mul_low_same_length_divide_and_conquer_shared_scratch(&mut out, &xs, &ys);

            let len = xs.len();
            let out_after = out[..len].to_vec();
            let mut out = out_before.to_vec();
            let mut scratch = vec![0; xs.len() << 1];
            limbs_mul_low_same_length_divide_and_conquer(&mut out, &xs, &ys, &mut scratch);
            let out_after: &[Limb] = &out_after;
            assert_eq!(&out[..len], out_after);

            verify_mul_low_2(&xs, &ys, out_after);
        },
    );
}

#[cfg(feature = "32_bit_limbs")]
#[test]
fn test_limbs_mul_low_same_length() {
    let test = |xs: Vec<Limb>, ys: Vec<Limb>, out_before: Vec<Limb>, out_after: &[Limb]| {
        let len = xs.len();
        let mut out = out_before.clone();
        limbs_mul_low_same_length(&mut out, &xs, &ys);
        assert_eq!(&out[..len], out_after);
        verify_mul_low_1(&out_before, &xs, &ys, &out);
    };
    // MULLO_BASECASE_THRESHOLD <= n < MULLO_DC_THRESHOLD
    test(vec![1; 3], series(1, 3), vec![5; 8], &[1, 3, 6]);
    test(
        vec![100, 101, 102],
        vec![102, 101, 100],
        vec![10; 7],
        &[10200, 20402, 30605],
    );
    test(
        vec![u32::MAX; 3],
        vec![u32::MAX; 3],
        vec![10; 6],
        &[1, 0, 0],
    );
    // n >= MULLO_DC_THRESHOLD
    // n < MULLO_MUL_N_THRESHOLD
    test(
        vec![
            667555911, 2348733364, 1961106649, 1440628769, 1419633260, 3052369574, 1108620071,
            3434026162, 3916636599, 3102975331, 3886608438, 726540295, 1959301605, 1097548123,
            4197775113, 2426454473, 1977350598, 815012862, 2487421470, 2968184113, 3186369366,
            2845700438, 1474463355, 3590404890, 2351730037, 3978816218, 227579243, 185502596,
            1922772057, 2864373880, 1909608765, 307719594, 4182459185, 3812324913, 1740357086,
            619281590, 1426834026, 2868540501, 440166317, 3324081248, 1368857307, 3133154844,
            1142185935, 2703145826, 1436656515, 2490167985, 2881509383, 725592411, 1056415214,
            1801603748, 1098036334, 728276877, 1517386665, 1881520126, 2784785117, 2287558410,
            3556820397, 1380321205, 706755221, 2829962299, 3613994343, 1462484606, 3627636556,
            490302213, 2592459816, 866144376, 609122783, 1451416993, 3785904246, 4131235963,
            74121435, 3878638497, 588893998, 1092662611, 3469958113, 2363382228, 2678844074,
            1733088933, 3784272536, 4005990872, 2863454468, 3205477346, 3748950603, 3944338479,
            59852399, 3489893816, 1468407650, 596065110, 1335233230, 3643254705, 1408578383,
            2465303822, 2349399082, 3471899735, 2696915607, 1269986424,
        ],
        vec![
            2722576082, 2281236300, 3094793404, 2870225073, 1804040671, 2878250398, 737079723,
            822732050, 655707872, 4207992704, 1851690693, 912905035, 3291778825, 2516279380,
            636556658, 2839780581, 3193297014, 1756749995, 3651621870, 628948913, 380312917,
            2361120672, 2262818273, 2071766395, 4162768312, 2516781023, 3406285004, 1455245572,
            2587465945, 1378482824, 241323934, 2280756750, 242112740, 69419369, 2603755088,
            2163412563, 1341439609, 321882770, 736087982, 2995521870, 3671192545, 1265948417,
            548486283, 3124707078, 290930553, 742853646, 118648394, 3811259549, 2371785381,
            2042286901, 3723558867, 783245266, 2393779385, 1940230299, 1556220091, 3235087403,
            2441469134, 1125637818, 1712201794, 2216073164, 4175845099, 958349548, 4262398424,
            3171987471, 363107024, 2664611701, 2971536098, 2823614641, 1683011498, 1406296445,
            3951206397, 3996972934, 3905528336, 920273699, 1258344157, 2971218980, 1721322990,
            1804720416, 3946193389, 1866895548, 2875334355, 2152965895, 1192611565, 3662025315,
            3450196924, 3273347968, 3209563794, 1516062635, 679683317, 1998597190, 2857249714,
            771410307, 3851158594, 2246899647, 1910389835, 3917001975,
        ],
        vec![10; 96],
        &[
            4002931774, 1904598186, 3234829245, 3606564796, 1306091105, 2193187486, 3152048235,
            591394468, 3956728348, 1387100164, 1906336788, 3282287701, 520335280, 185717337,
            2805648626, 3053703744, 140292430, 3997128531, 231327311, 15232560, 1661811744,
            661469371, 576722126, 854577401, 4168087387, 3545117380, 2423373377, 3239419618,
            806391738, 3880336495, 622341226, 2747181685, 1811142986, 3822894835, 1547377963,
            661471733, 100990771, 311111243, 617447537, 2129281438, 830310054, 2479129328,
            3642060387, 3489744434, 1954771548, 3535568842, 3876438817, 943110050, 2741340933,
            1863625282, 3029160300, 687011149, 2856703096, 1137282724, 1230235236, 3485141654,
            2955294074, 4088046039, 1413613081, 4175441078, 3746030422, 287749227, 1646738360,
            1501205414, 1096064838, 1755515350, 2556528506, 238519283, 3569605126, 796573795,
            4090746106, 4149522856, 583205784, 2821201119, 3555712047, 1090519982, 2976948004,
            3580487377, 627104596, 1130079835, 490101583, 1570134181, 648065435, 1085439524,
            3896882529, 2919299575, 3301848876, 1413509397, 3259269725, 2509252448, 2214096765,
            1288915975, 2839044440, 1348673262, 916617232, 3060106377,
        ],
    );
    // n >= MULLO_MUL_N_THRESHOLD
    // !TUNE_PROGRAM_BUILD && MULLO_MUL_N_THRESHOLD > MUL_FFT_THRESHOLD
    test(
        series(1, 9000),
        series(2, 9000),
        vec![10; 9000],
        &[
            2, 7, 16, 30, 50, 77, 112, 156, 210, 275, 352, 442, 546, 665, 800, 952, 1122, 1311,
            1520, 1750, 2002, 2277, 2576, 2900, 3250, 3627, 4032, 4466, 4930, 5425, 5952, 6512,
            7106, 7735, 8400, 9102, 9842, 10621, 11440, 12300, 13202, 14147, 15136, 16170, 17250,
            18377, 19552, 20776, 22050, 23375, 24752, 26182, 27666, 29205, 30800, 32452, 34162,
            35931, 37760, 39650, 41602, 43617, 45696, 47840, 50050, 52327, 54672, 57086, 59570,
            62125, 64752, 67452, 70226, 73075, 76000, 79002, 82082, 85241, 88480, 91800, 95202,
            98687, 102256, 105910, 109650, 113477, 117392, 121396, 125490, 129675, 133952, 138322,
            142786, 147345, 152000, 156752, 161602, 166551, 171600, 176750, 182002, 187357, 192816,
            198380, 204050, 209827, 215712, 221706, 227810, 234025, 240352, 246792, 253346, 260015,
            266800, 273702, 280722, 287861, 295120, 302500, 310002, 317627, 325376, 333250, 341250,
            349377, 357632, 366016, 374530, 383175, 391952, 400862, 409906, 419085, 428400, 437852,
            447442, 457171, 467040, 477050, 487202, 497497, 507936, 518520, 529250, 540127, 551152,
            562326, 573650, 585125, 596752, 608532, 620466, 632555, 644800, 657202, 669762, 682481,
            695360, 708400, 721602, 734967, 748496, 762190, 776050, 790077, 804272, 818636, 833170,
            847875, 862752, 877802, 893026, 908425, 924000, 939752, 955682, 971791, 988080,
            1004550, 1021202, 1038037, 1055056, 1072260, 1089650, 1107227, 1124992, 1142946,
            1161090, 1179425, 1197952, 1216672, 1235586, 1254695, 1274000, 1293502, 1313202,
            1333101, 1353200, 1373500, 1394002, 1414707, 1435616, 1456730, 1478050, 1499577,
            1521312, 1543256, 1565410, 1587775, 1610352, 1633142, 1656146, 1679365, 1702800,
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            1296857327, 1327156546, 1357463550, 1387778340, 1418100917, 1448431282, 1478769436,
            1509115380, 1539469115, 1569830642, 1600199962, 1630577076, 1660961985, 1691354690,
            1721755192, 1752163492, 1782579591, 1813003490, 1843435190, 1873874692, 1904321997,
            1934777106, 1965240020, 1995710740, 2026189267, 2056675602, 2087169746, 2117671700,
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            2361968612, 2392540901, 2423121010, 2453708940, 2484304692, 2514908267, 2545519666,
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            2790692642, 2821374502, 2852064196, 2882761725, 2913467090, 2944180292, 2974901332,
            3005630211, 3036366930, 3067111490, 3097863892, 3128624137, 3159392226, 3190168160,
            3220951940, 3251743567, 3282543042, 3313350366, 3344165540, 3374988565, 3405819442,
            3436658172, 3467504756, 3498359195, 3529221490, 3560091642, 3590969652, 3621855521,
            3652749250, 3683650840, 3714560292, 3745477607, 3776402786, 3807335830, 3838276740,
            3869225517, 3900182162, 3931146676, 3962119060, 3993099315, 4024087442, 4055083442,
            4086087316, 4117099065, 4148118690, 4179146192, 4210181572, 4241224831, 4272275970,
            8367694, 39434597, 70509382, 101592051, 132682605, 163781045, 194887372, 226001587,
            257123691, 288253685, 319391570, 350537347, 381691017, 412852581, 444022040, 475199395,
            506384647, 537577797, 568778846, 599987795, 631204645, 662429397, 693662052, 724902611,
            756151075, 787407445, 818671722, 849943907, 881224001, 912512005, 943807920, 975111747,
            1006423487, 1037743141, 1069070710, 1100406195, 1131749597, 1163100917, 1194460156,
            1225827315, 1257202395, 1288585397, 1319976322, 1351375171, 1382781945, 1414196645,
            1445619272, 1477049827, 1508488311, 1539934725, 1571389070, 1602851347, 1634321557,
            1665799701, 1697285780, 1728779795, 1760281747, 1791791637, 1823309466, 1854835235,
            1886368945, 1917910597, 1949460192, 1981017731, 2012583215, 2044156645, 2075738022,
            2107327347, 2138924621, 2170529845, 2202143020, 2233764147, 2265393227, 2297030261,
            2328675250, 2360328195, 2391989097, 2423657957, 2455334776, 2487019555, 2518712295,
            2550412997, 2582121662, 2613838291, 2645562885, 2677295445, 2709035972, 2740784467,
            2772540931, 2804305365, 2836077770, 2867858147, 2899646497, 2931442821, 2963247120,
            2995059395, 3026879647, 3058707877, 3090544086, 3122388275, 3154240445, 3186100597,
            3217968732, 3249844851, 3281728955, 3313621045, 3345521122, 3377429187, 3409345241,
            3441269285, 3473201320, 3505141347, 3537089367, 3569045381, 3601009390, 3632981395,
            3664961397, 3696949397, 3728945396, 3760949395, 3792961395, 3824981397, 3857009402,
            3889045411, 3921089425, 3953141445, 3985201472, 4017269507, 4049345551, 4081429605,
            4113521670, 4145621747, 4177729837, 4209845941, 4241970060, 4274102195, 11275051,
            43423222, 75579411, 107743620, 139915850, 172096102, 204284377, 236480676, 268685000,
            300897350, 333117727, 365346132, 397582566, 429827030, 462079525, 494340052, 526608612,
            558885206, 591169835, 623462500, 655763202, 688071942, 720388721, 752713540, 785046400,
            817387302, 849736247, 882093236, 914458270, 946831350, 979212477, 1011601652,
            1043998876, 1076404150, 1108817475, 1141238852, 1173668282, 1206105766, 1238551305,
            1271004900, 1303466552, 1335936262, 1368414031, 1400899860, 1433393750, 1465895702,
            1498405717, 1530923796, 1563449940, 1595984150, 1628526427, 1661076772, 1693635186,
            1726201670, 1758776225, 1791358852, 1823949552, 1856548326, 1889155175, 1921770100,
            1954393102, 1987024182, 2019663341, 2052310580, 2084965900, 2117629302, 2150300787,
            2182980356, 2215668010, 2248363750, 2281067577, 2313779492, 2346499496, 2379227590,
            2411963775, 2444708052, 2477460422, 2510220886, 2542989445, 2575766100, 2608550852,
            2641343702, 2674144651, 2706953700, 2739770850, 2772596102, 2805429457, 2838270916,
            2871120480, 2903978150, 2936843927, 2969717812, 3002599806, 3035489910, 3068388125,
            3101294452, 3134208892, 3167131446, 3200062115, 3233000900, 3265947802, 3298902822,
            3331865961, 3364837220, 3397816600, 3430804102, 3463799727, 3496803476, 3529815350,
            3562835350, 3595863477, 3628899732, 3661944116, 3694996630, 3728057275, 3761126052,
            3794202962, 3827288006, 3860381185, 3893482500, 3926591952, 3959709542, 3992835271,
            4025969140, 4059111150, 4092261302, 4125419597, 4158586036, 4191760620, 4224943350,
            4258134227, 4291333252, 29573130, 62788455, 96011930, 129243557, 162483337, 195731271,
            228987360, 262251605, 295524007, 328804567, 362093286, 395390165, 428695205, 462008407,
            495329772, 528659301, 561996995, 595342855, 628696882, 662059077, 695429441, 728807975,
            762194680, 795589557, 828992607, 862403831, 895823230, 929250805, 962686557, 996130487,
            1029582596, 1063042885, 1096511355, 1129988007, 1163472842, 1196965861, 1230467065,
            1263976455, 1297494032, 1331019797, 1364553751, 1398095895, 1431646230, 1465204757,
            1498771477, 1532346391, 1565929500, 1599520805, 1633120307, 1666728007, 1700343906,
            1733968005, 1767600305, 1801240807, 1834889512, 1868546421, 1902211535, 1935884855,
            1969566382, 2003256117, 2036954061, 2070660215, 2104374580, 2138097157, 2171827947,
            2205566951, 2239314170, 2273069605, 2306833257, 2340605127, 2374385216, 2408173525,
            2441970055, 2475774807, 2509587782, 2543408981, 2577238405, 2611076055, 2644921932,
            2678776037, 2712638371, 2746508935, 2780387730, 2814274757, 2848170017, 2882073511,
            2915985240, 2949905205, 2983833407, 3017769847, 3051714526, 3085667445, 3119628605,
            3153598007, 3187575652, 3221561541, 3255555675, 3289558055, 3323568682, 3357587557,
            3391614681, 3425650055, 3459693680, 3493745557, 3527805687, 3561874071, 3595950710,
            3630035605, 3664128757, 3698230167, 3732339836, 3766457765, 3800583955, 3834718407,
            3868861122, 3903012101, 3937171345, 3971338855, 4005514632, 4039698677, 4073890991,
            4108091575, 4142300430, 4176517557, 4210742957, 4244976631, 4279218580, 18501509,
            52760012, 87026792, 121301851, 155585190, 189876810, 224176712, 258484897, 292801366,
            327126120, 361459160, 395800487, 430150102, 464508006, 498874200, 533248685, 567631462,
            602022532, 636421896, 670829555, 705245510, 739669762, 774102312, 808543161, 842992310,
            877449760, 911915512, 946389567, 980871926, 1015362590, 1049861560, 1084368837,
            1118884422, 1153408316, 1187940520, 1222481035, 1257029862, 1291587002, 1326152456,
            1360726225, 1395308310, 1429898712, 1464497432, 1499104471, 1533719830, 1568343510,
            1602975512, 1637615837, 1672264486, 1706921460, 1741586760, 1776260387, 1810942342,
            1845632626, 1880331240, 1915038185, 1949753462, 1984477072, 2019209016, 2053949295,
            2088697910, 2123454862, 2158220152, 2192993781, 2227775750, 2262566060, 2297364712,
            2332171707, 2366987046, 2401810730, 2436642760, 2471483137, 2506331862, 2541188936,
            2576054360, 2610928135, 2645810262, 2680700742, 2715599576, 2750506765, 2785422310,
            2820346212, 2855278472, 2890219091, 2925168070, 2960125410, 2995091112, 3030065177,
            3065047606, 3100038400, 3135037560, 3170045087, 3205060982, 3240085246, 3275117880,
            3310158885, 3345208262, 3380266012, 3415332136, 3450406635, 3485489510, 3520580762,
            3555680392, 3590788401, 3625904790, 3661029560, 3696162712, 3731304247, 3766454166,
            3801612470, 3836779160, 3871954237, 3907137702, 3942329556, 3977529800, 4012738435,
            4047955462, 4083180882, 4118414696, 4153656905, 4188907510, 4224166512, 4259433912,
            4294709711, 35026614, 70319215, 105620217, 140929622, 176247431, 211573645, 246908265,
            282251292, 317602727, 352962571, 388330825, 423707490, 459092567, 494486057, 529887961,
            565298280, 600717015, 636144167, 671579737, 707023726, 742476135, 777936965, 813406217,
            848883892, 884369991, 919864515, 955367465, 990878842, 1026398647, 1061926881,
            1097463545, 1133008640, 1168562167, 1204124127, 1239694521, 1275273350, 1310860615,
            1346456317, 1382060457, 1417673036, 1453294055, 1488923515, 1524561417, 1560207762,
            1595862551, 1631525785, 1667197465, 1702877592, 1738566167, 1774263191, 1809968665,
            1845682590, 1881404967, 1917135797, 1952875081, 1988622820, 2024379015, 2060143667,
            2095916777, 2131698346, 2167488375, 2203286865, 2239093817, 2274909232, 2310733111,
            2346565455, 2382406265, 2418255542, 2454113287, 2489979501, 2525854185, 2561737340,
            2597628967, 2633529067, 2669437641, 2705354690, 2741280215, 2777214217, 2813156697,
            2849107656, 2885067095, 2921035015, 2957011417, 2992996302, 3028989671, 3064991525,
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            3699953300, 3739083580, 3778222707, 3817370682, 3856527506, 3895693180, 3934867705,
            3974051082, 4013243312, 4052444396, 4091654335, 4130873130, 4170100782, 4209337292,
            4248582661, 4287836890, 32132684, 71404637, 110685452, 149975131, 189273675, 228581085,
            267897362, 307222507, 346556521, 385899405, 425251160, 464611787, 503981287, 543359661,
            582746910, 622143035, 661548037, 700961917, 740384676, 779816315, 819256835, 858706237,
            898164522, 937631691, 977107745, 1016592685, 1056086512, 1095589227, 1135100831,
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            2284808557, 2324587296, 2364374955, 2404171535, 2443977037, 2483791462, 2523614811,
            2563447085, 2603288285, 2643138412, 2682997467, 2722865451, 2762742365, 2802628210,
            2842522987, 2882426697, 2922339341, 2962260920, 3002191435, 3042130887, 3082079277,
            3122036606, 3162002875, 3201978085, 3241962237, 3281955332, 3321957371, 3361968355,
            3401988285, 3442017162, 3482054987, 3522101761, 3562157485, 3602222160, 3642295787,
            3682378367, 3722469901, 3762570390, 3802679835, 3842798237, 3882925597, 3923061916,
            3963207195, 4003361435, 4043524637, 4083696802, 4123877931, 4164068025, 4204267085,
            4244475112, 4284692107, 29950775, 70185710, 110429615, 150682492, 190944342, 231215166,
            271494965, 311783740, 352081492, 392388222, 432703931, 473028620, 513362290, 553704942,
            594056577, 634417196, 674786800, 715165390, 755552967, 795949532, 836355086, 876769630,
            917193165, 957625692, 998067212, 1038517726, 1078977235, 1119445740, 1159923242,
            1200409742, 1240905241, 1281409740, 1321923240,
        ],
    );
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_low_same_length_fail_1() {
    let mut out = vec![10, 10, 10, 10, 10];
    limbs_mul_low_same_length(&mut out, &[6, 7], &[1, 2, 3]);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_low_same_length_fail_2() {
    let mut out = vec![10];
    limbs_mul_low_same_length(&mut out, &[6, 7], &[1, 2]);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_mul_low_same_length_fail_3() {
    let mut out = vec![10];
    limbs_mul_low_same_length(&mut out, &[], &[]);
}

#[test]
fn test_limbs_product() {
    fn test(xs: &[Limb], out: &[Limb]) {
        let xs_old = xs;
        let mut xs = xs_old.to_vec();
        let mut product = vec![0; xs.len()];
        let out_len = limbs_product(&mut product, &mut xs);
        product.truncate(out_len);
        assert_eq!(product, out);

        let xs = xs_old;
        let mut product_alt = vec![0; xs.len()];
        let out_len = limbs_product_naive(&mut product_alt, xs);
        product_alt.truncate(out_len);

        assert_eq!(
            Natural::from_owned_limbs_asc(product),
            Natural::from_owned_limbs_asc(product_alt)
        );
    }
    #[cfg(feature = "32_bit_limbs")]
    {
        test(&[0, 0], &[0]);
        test(&[0, 1], &[0]);
        test(&[1, 1], &[1]);
        test(&[1, 2, 3, 0], &[0]);
        test(&[1, 1, 1, 6], &[6]);
        // factor_len < RECURSIVE_PROD_THRESHOLD
        // factor_len < RECURSIVE_PROD_THRESHOLD && carry == 0
        test(&[2, 2], &[4]);
        // 1 < factor_len < RECURSIVE_PROD_THRESHOLD
        test(&[2, 2, 2], &[8]);
        // factor_len < RECURSIVE_PROD_THRESHOLD && carry != 0
        test(
            &[
                3364358997, 3754657515, 2983848742, 3936755874, 1784338974, 2546784265, 1325228501,
                2948540251,
            ],
            &[
                2931171496, 2374327460, 1603352486, 1643105815, 3729295616, 3598234472, 675706642,
                97731883,
            ],
        );
    }
    #[cfg(not(feature = "32_bit_limbs"))]
    {
        test(&[0, 0], &[0]);
        // factor_len >= RECURSIVE_PROD_THRESHOLD
        // factor_len >= RECURSIVE_PROD_THRESHOLD && carry != 0
        test(
            &[
                10008125746032292648,
                18321114734333840332,
                17920212203847604612,
                11217657766511696793,
                11281083380440747080,
                7892713234117558634,
                8902471323128328235,
                11892365124252837749,
                12611508814807140936,
                11815551321438701427,
                18110749687253320811,
                11715728409437156086,
                3339319126985623378,
                6325617411041006209,
                14096883611650388622,
                17687808067973538964,
                168019485471086672,
                15693590891786235960,
                2786725115760255375,
                9052512570921605652,
                14177547685319586247,
                15370386165587184937,
                5970865523433924174,
            ],
            &[
                11912117198576943104,
                13014631084302689641,
                13412132452197408442,
                2451810739915146054,
                11634661136866399370,
                4370855263334042992,
                15668998660816175865,
                12986191105652374961,
                13086723724779814479,
                11723085021234472016,
                11995103430870542887,
                9025449360203176092,
                2596804721077076476,
                17187504964195613394,
                3993660956642255072,
                14652834649000131068,
                115931129580828916,
                5908166419484799210,
                5266332857336541018,
                10618265378208305889,
                15818414605397825971,
                1340104142930176609,
                707009434669,
            ],
        );
        // factor_len >= RECURSIVE_PROD_THRESHOLD && carry == 0
        test(
            &rle_decode(&[
                (0, 2),
                (18446743798831644672, 1),
                (u64::MAX, 8),
                (131071, 1),
                (0, 1),
                (18446181123756130304, 1),
                (u64::MAX, 1),
                (0, 3),
                (18446744073709289472, 1),
                (18446744069414584323, 1),
                (u64::MAX, 2),
                (1048575, 1),
            ]),
            &[0],
        );
        test(
            &[
                10985406156730349404,
                16998073653641921623,
                17457059674168741173,
                7286565767689019192,
                18125356898477139174,
                16492808515310020304,
                3477958611236241232,
                16292175871113024008,
                5585730561604558759,
                6236295300549613743,
                10319623255002503349,
                9463751064224151456,
                591089135516199459,
                2252218169318269834,
                862892606080353458,
                5048725452063866206,
                8818325570889918907,
                8659485206830156469,
                13423243087758132387,
                5931638651683836702,
                726189598260086702,
                17552568882310631283,
                16362554893644374308,
                2407211671412641092,
                1658933737262819201,
                8531670718492391711,
                7551068411167036177,
                1219676338169570619,
                3249808943561478386,
                8240095392791493806,
                18379760227315341655,
                15217742262236663404,
                17914601533857880122,
                6316977119306097487,
                15466746727219811764,
                3809403759956883034,
                7752635439402559334,
                18006879800705758675,
                10224737295140518487,
                8383030445894670697,
                7272423850473130597,
                9751703358656322718,
                5778325638584493526,
                8175215950976649646,
                8581067395248196883,
                4729909244293992358,
                7626677144783852491,
                15620921255634335582,
                17768397379068248272,
                7127187304413875110,
            ],
            &[
                3631027199567462400,
                1271721650030716672,
                2994855603235436973,
                17610775060915408482,
                5067312238234780182,
                17332419541318968246,
                16256455013715596255,
                8446753555477097340,
                6176580983302425584,
                4478791418516115226,
                4543632153902351949,
                8389257049215340154,
                7312665208898130485,
                7684632819757707617,
                3755281952906934158,
                13259632617670669038,
                8815229384280433597,
                18114656906332551194,
                8751551051855969605,
                3831140942508279269,
                3191248804852725269,
                2021644817234089610,
                17966341018397783935,
                17567823138927086650,
                7667876961419931279,
                14788070825593093177,
                18150799194320967018,
                10911257712565360499,
                17179583904099919127,
                13486844951716301158,
                10333473285718288690,
                11178175053564016056,
                7882508656916287058,
                10989425714502087490,
                6829028223894926894,
                810375652491815426,
                17216794810099974028,
                590650088582786587,
                4701269004129928787,
                3119542545671269984,
                14375368104481453295,
                124160740720125385,
                1360655591798967164,
                17850602821256829937,
                6139583463573727145,
                14578358562855390329,
                14560675482255305936,
                16662995492200800253,
                666535375735877288,
            ],
        );
    }
}

fn verify_limbs_mul_greater_to_out_fft(
    out_before: &[Limb],
    xs: &[Limb],
    ys: &[Limb],
    out_after: &[Limb],
) {
    let n = Natural::from_limbs_asc(xs) * Natural::from_limbs_asc(ys);
    let mut ns = n.into_limbs_asc();
    let len = xs.len() + ys.len();
    ns.resize(len, 0);
    assert_eq!(ns, &out_after[..len]);
    assert_eq!(&out_after[len..], &out_before[len..]);
}

#[test]
fn test_limbs_mul_greater_to_out_fftzzz() {
    let test = |xs: &[Limb], ys: &[Limb], out_before: &[Limb], out_after: &[Limb]| {
        let mut out = out_before.to_vec();
        let mut scratch = vec![0; limbs_mul_greater_to_out_fft_scratch_len(xs.len(), ys.len())];
        limbs_mul_greater_to_out_fft(&mut out, xs, ys, &mut scratch);
        assert_eq!(out, out_after);
        let mut out = out_before.to_vec();
        let mut scratch =
            vec![0; limbs_mul_greater_to_out_fft_with_cutoff_scratch_len(xs.len(), ys.len(), 50)];
        limbs_mul_greater_to_out_fft_with_cutoff(&mut out, xs, ys, 50, &mut scratch);
        assert_eq!(out, out_after);

        verify_limbs_mul_greater_to_out_fft(out_before, xs, ys, out_after);
    };
    let test_big = |xs: &[Limb], ys: &[Limb]| {
        let mut out = vec![0; xs.len() + ys.len()];
        let out_before = out.clone();
        let mut scratch = vec![0; limbs_mul_greater_to_out_fft_scratch_len(xs.len(), ys.len())];
        limbs_mul_greater_to_out_fft(&mut out, xs, ys, &mut scratch);
        let out_after = out;
        let mut out = out_before.clone();
        let mut scratch =
            vec![0; limbs_mul_greater_to_out_fft_with_cutoff_scratch_len(xs.len(), ys.len(), 50)];
        limbs_mul_greater_to_out_fft_with_cutoff(&mut out, xs, ys, 50, &mut scratch);
        assert_eq!(out, out_after);

        verify_limbs_mul_greater_to_out_fft(&out_before, xs, ys, &out);
    };
    #[cfg(not(feature = "32_bit_limbs"))]
    {
        // depth < 11
        // depth < 6
        // j1 + j2 - 1 <= 4 * n || w <= wadj
        // j1 + j2 - 1 > 4 * n || w <= wadj
        // trunc > n << 1 in limbs_mul_truncate_sqrt2
        // top_bits != 0 in limbs_fft_split_bits
        // i < length - 1 in limbs_split_bits_worker
        // shift_bits == 0 in limbs_split_bits_worker
        // shift_bits != 0 in limbs_split_bits_worker
        // shift_bits >= Limb::WIDTH in limbs_split_bits_worker
        // i >= length - 1 in limbs_split_bits_worker
        // shift_bits != 0 in limbs_fft_split_bits
        // w.even() in limbs_fft_truncate_sqrt2
        // trunc == n << 1 in limbs_fft_truncate
        // n != 1 in limbs_fft_radix2
        // x == 0 in limbs_butterfly_lsh_b
        // x == 0 && y == 0 in limbs_butterfly_lsh_b
        // !xs.is_empty() in limbs_fft_sumdiff
        // d == 0 in limbs_fft_mul_2expmod_2expp1_in_place
        // x == 0 && y == 0 in limbs_butterfly_lsh_b
        // !(sum ^ *x_lo).get_highest_bit() in limbs_fft_addmod_2expp1_1
        // n == 1 in limbs_fft_radix2
        // (sum ^ *x_lo).get_highest_bit() && c.get_highest_bit() in limbs_fft_addmod_2expp1_1
        // h == 0 in limbs_fft_normmod_2expp1
        // cy == 0 in limbs_fft_mulmod_2expp1_basecase_same
        // cy == 0 && cz == 0 in limbs_fft_mulmod_2expp1_basecase_same
        // h != 0 in limbs_fft_normmod_2expp1
        // hi == 0 in limbs_fft_normmod_2expp1
        // !(sum ^ *x_lo).get_highest_bit() && !c.get_highest_bit() in limbs_fft_addmod_2expp1_1
        // w.even() in limbs_ifft_truncate_sqrt2
        // trunc == n << 1 in limbs_ifft_truncate
        // n != 1 in limbs_ifft_radix2
        // n == 1 in limbs_ifft_radix2
        // d == 0 in limbs_fft_div_2expmod_2expp1_in_place
        // x == 0 in limbs_butterfly_rsh_b
        // x == 0 && y == 0 in limbs_butterfly_rsh_b
        // x == 0 && y != 0 in limbs_butterfly_rsh_b
        // d != 0 in limbs_fft_div_2expmod_2expp1_in_place
        // hi != 0 in limbs_fft_normmod_2expp1
        // t[limbs] != Limb::MAX in limbs_fft_normmod_2expp1
        // top_bits != 0 in limbs_fft_combine_bits
        // shift_bits == 0 first time in limbs_fft_combine_bits
        // shift_bits < Limb::WIDTH first time in limbs_fft_combine_bits
        // shift_bits != 0 first time in limbs_fft_combine_bits
        // shift_bits >= Limb::WIDTH first time in limbs_fft_combine_bits
        // shift_bits != 0 second time in limbs_fft_combine_bits
        // shift_bits >= Limb::WIDTH second time in limbs_fft_combine_bits
        test(
            &[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1],
            &[
                0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
                0, 0, 0, 1,
            ],
            &[10; 57],
            &[
                0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
                0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1,
                0,
            ],
        );
        test(
            &[10; 25],
            &[10; 32],
            &[100; 57],
            &[
                100, 200, 300, 400, 500, 600, 700, 800, 900, 1000, 1100, 1200, 1300, 1400, 1500,
                1600, 1700, 1800, 1900, 2000, 2100, 2200, 2300, 2400, 2500, 2500, 2500, 2500, 2500,
                2500, 2500, 2500, 2400, 2300, 2200, 2100, 2000, 1900, 1800, 1700, 1600, 1500, 1400,
                1300, 1200, 1100, 1000, 900, 800, 700, 600, 500, 400, 300, 200, 100, 0,
            ],
        );
        test(
            &[u64::MAX; 25],
            &[u64::MAX; 32],
            &[100; 57],
            &rle_decode(&[
                (1, 1),
                (0, 24),
                (u64::MAX, 7),
                (18446744073709551614, 1),
                (u64::MAX, 24),
            ]),
        );
        // trunc != n << 1 && trunc > n in limbs_fft_truncate
        // d != 0 in limbs_fft_mul_2expmod_2expp1_in_place
        // x != 0 in limbs_fft_adjust
        // offset != n in limbs_fft_neg
        // zeros != n in limbs_fft_neg
        // zeros == n in limbs_fft_neg
        // trunc != n << 1 && trunc > n in limbs_fft_truncate1
        // trunc != n << 1 && trunc <= n in limbs_fft_truncate1
        // trunc == n << 1 in limbs_fft_truncate1
        // trunc != n << 1 && trunc > n in limbs_ifft_truncate
        // trunc != n << 1 && trunc > n in limbs_ifft_truncate1
        // trunc != n << 1 && trunc <= n in limbs_ifft_truncate1
        // trunc == n << 1 in limbs_ifft_truncate1
        test_big(&[10; 1000], &[10; 1000]);
        test_big(&[Limb::MAX; 1000], &[u64::MAX; 1000]);
        // trunc > n << 1 in limbs_mul_mfa_truncate_sqrt2
        // shift_bits < Limb::WIDTH in limbs_split_bits_worker
        // i < n1 in limbs_fft_outer1_worker
        // w.odd() in limbs_fft_outer1_worker
        // j.even() in limbs_fft_outer1_worker
        // i.even() in limbs_fft_outer1_worker
        // n != 1 in limbs_fft_radix2_twiddle
        // n == 1 in limbs_fft_radix2_twiddle
        // b1 < nw in limbs_fft_butterfly_twiddle
        // b2 < nw in limbs_fft_butterfly_twiddle
        // j >= s in limbs_fft_outer1_worker;
        // j < s in limbs_fft_outer1_worker
        // j.odd() in limbs_fft_outer1_worker
        // b1 < wn in limbs_fft_butterfly_sqrt2
        // y != 0 in limbs_fft_butterfly_sqrt2
        // limbs.even() in limbs_fft_butterfly_sqrt2
        // !negate in limbs_fft_butterfly_sqrt2
        // i.odd() in limbs_fft_outer1_worker
        // b1 < wn in limbs_fft_adjust_sqrt2
        // y != 0 first time in limbs_fft_adjust_sqrt2
        // d != 0 in limbs_fft_mul_2expmod_2expp1
        // y != 0 second time in limbs_fft_adjust_sqrt2
        // limbs.even() in limbs_fft_adjust_sqrt2
        // !negate in limbs_fft_adjust_sqrt2
        // b1 >= wn in limbs_fft_adjust_sqrt2
        // y == 0 first time in limbs_fft_adjust_sqrt2
        // negate in limbs_fft_adjust_sqrt2
        // x != 0 && y != 0 && x < y in limbs_butterfly_lsh_b
        // offset == n in limbs_fft_neg_in_place
        // offset != n in limbs_fft_neg_in_place
        // zeros == n in limbs_fft_neg_in_place
        // zeros != n in limbs_fft_neg_in_place
        // d == 0 in limbs_fft_mul_2expmod_2expp1
        // b2 >= nw in limbs_fft_butterfly_twiddle
        // x != 0 && y != 0 && x > y in limbs_butterfly_lsh_b
        // x != 0 && y == 0 in limbs_butterfly_lsh_b
        // i >= n1 in limbs_fft_outer1_worker
        // i < n1 in limbs_fft_outer2_worker
        // trunc != n << 1 && trunc <= n in limbs_fft_truncate1_twiddle
        // trunc == n << 1 in limbs_fft_truncate1_twiddle
        // j >= s in limbs_fft_outer2_worker
        // j < s in limbs_fft_outer2_worker
        // i >= n1 in limbs_fft_outer2_worker
        // s < trunc in limbs_fft_inner1_worker
        // c.even() && c & 2 == 0 in limbs_fft_mulmod_2expp1
        // limbs <= FFT_MULMOD_2EXPP1_CUTOFF in limbs_fft_mulmod_2expp1
        // s >= trunc in limbs_fft_inner1_worker
        // i < n2 in limbs_fft_inner2_worker
        // i >= n2 in limbs_fft_inner2_worker
        // i < n1 in limbs_ifft_outer1_worker
        // j >= s in limbs_ifft_outer1_worker
        // j < s in limbs_ifft_outer1_worker
        // n != 1 in limbs_ifft_radix2_twiddle
        // n == 1 in limbs_ifft_radix2_twiddle
        // b1 < nw in limbs_ifft_butterfly_twiddle
        // b2 < nw in limbs_ifft_butterfly_twiddle
        // !negate1 in limbs_ifft_butterfly_twiddle
        // !negate2 in limbs_ifft_butterfly_twiddle
        // x != 0 && y != 0 && x < y in limbs_butterfly_rsh_b
        // b2 >= nw in limbs_ifft_butterfly_twiddle
        // negate2 in limbs_ifft_butterfly_twiddle
        // x != 0 && y != 0 && x > y in limbs_butterfly_rsh_b
        // x != 0 && y == 0 in limbs_butterfly_rsh_b
        // i >= n1 in limbs_ifft_outer1_worker
        // i < n1 in limbs_ifft_outer2_worker
        // j >= s in limbs_ifft_outer2_worker
        // j < s in limbs_ifft_outer2_worker
        // w.odd() first time in limbs_ifft_outer2_worker
        // i.even() in limbs_ifft_outer2_worker
        // trunc != n << 1 && trunc <= n in limbs_ifft_truncate1_twiddle
        // trunc == n << 1 in limbs_ifft_truncate1_twiddle
        // w.odd() second time in limbs_ifft_outer2_worker
        // j.even() in limbs_ifft_outer2_worker
        // i.odd() in limbs_ifft_outer2_worker
        // offset == n in limbs_fft_neg
        // j.odd() in limbs_ifft_outer2_worker
        // b1 >= wn in limbs_ifft_butterfly_sqrt2
        // b1 != 0 in limbs_ifft_butterfly_sqrt2
        // y != 0 in limbs_ifft_butterfly_sqrt2
        // limbs.even() in limbs_ifft_butterfly_sqrt2
        // !negate in limbs_ifft_butterfly_sqrt2
        // xs.is_empty() in limbs_fft_sumdiff
        // b1 < wn in limbs_ifft_butterfly_sqrt2
        // negate in limbs_ifft_butterfly_sqrt2
        // b1 == 0 in limbs_ifft_butterfly_sqrt2
        // i >= n1 in limbs_ifft_outer2_worker
        // shift_bits < Limb::WIDTH second time in limbs_fft_combine_bits
        // j1 + j2 - 1 <= 3 * n
        test_big(&[10; 69569], &[10; 2591]);
        // trunc != n << 1 && trunc > n in limbs_fft_truncate1_twiddle
        // trunc != n << 1 && trunc > n in limbs_ifft_truncate1_twiddle
        test_big(&[10; 44636], &[10; 25927]);
        // w.even() in limbs_fft_outer1_worker
        // w.even() first time in limbs_ifft_outer2_worker
        // w.even() second time in limbs_ifft_outer2_worker
        // 50 cutoff: limbs > cutoff in limbs_fft_mulmod_2expp1
        // 50 cutoff: depth >= 12 in limbs_fft_mulmod_2expp1
        // 50 cutoff: top_bits == 0 in limbs_fft_split_bits
        // 50 cutoff: i < num in limbs_split_limbs_worke
        // 50 cutoff: i >= num in limbs_split_limbs_worker
        // 50 cutoff: i >= length in limbs_fft_split_limbs
        // 50 cutoff: total_limbs <= skip in limbs_fft_split_limbs
        // 50 cutoff: w.even() in limbs_fft_negacyclic
        // 50 cutoff: top_bits == 0 in limbs_fft_combine_bits
        // 50 cutoff: r[j] == 0 && SignedLimb::wrapping_from(xss[j][limbs]) < 0 first time
        //      in limbs_fft_mulmod_2expp1_helper
        // 50 cutoff: r[j] == 0 && SignedLimb::wrapping_from(xss[j][limbs]) >= 0
        //      in limbs_fft_mulmod_2expp1_helper
        // 50 cutoff: r[j] != 0 && SignedLimb::wrapping_from(xss[j][limbs]) >= 0
        //      in limbs_fft_mulmod_2expp1_helper
        // 50 cutoff: limb_add != 0 in limbs_fft_mulmod_2expp1_helper
        // 50 cutoff: r[j] == 0 && SignedLimb::wrapping_from(xss[j][limbs]) < 0 second time
        //      in limbs_fft_mulmod_2expp1_helper
        test_big(&[10; 178940], &[10; 21015]);
        // w.odd() in limbs_fft_truncate_sqrt2
        // b1 >= wn in limbs_fft_butterfly_sqrt2
        // negate in limbs_fft_butterfly_sqrt2
        // w.odd() in limbs_ifft_truncate_sqrt2
        test_big(&[10; 10758], &[10; 14125]);
        // depth >= 6
        test_big(&[10; 10000], &[10; 10000]);
        // w == 1
        // w != 1
        // depth >= 11
        // j1 + j2 - 1 > 3 * n
        test_big(&[10; 100000], &[10; 100000]);
        // limbs.odd() in limbs_fft_butterfly_sqrt2
        // limbs.odd() in limbs_fft_adjust_sqrt2
        // limbs.odd() in limbs_ifft_butterfly_sqrt2
        test_big(&[10; 188], &[10; 3231]);
        test_big(&[Limb::MAX; 27300], &[Limb::MAX; 49384]);
        let xs = &[
            (0, 3772),
            (18446743936270598144, 1),
            (u64::MAX, 12730),
            (9223372036854775807, 1),
            (0, 10796),
        ];
        let ys = &[
            (0, 1181),
            (18446744073709486080, 1),
            (u64::MAX, 2874),
            (1048575, 1),
            (0, 14962),
            (18410715276690587648, 1),
            (u64::MAX, 10211),
            (4611686018427387903, 1),
            (0, 111),
            (18410715276690587648, 1),
            (u64::MAX, 1566),
            (9007199254740991, 1),
            (0, 468),
            (18442240474082181120, 1),
            (u64::MAX, 3062),
            (35184372088831, 1),
            (0, 830),
            (18446181123756130304, 1),
            (u64::MAX, 11736),
            (63, 1),
            (0, 2373),
        ];
        test_big(&rle_decode(xs), &rle_decode(ys));
    }
    #[cfg(feature = "32_bit_limbs")]
    {
        // shift_bits == 0 in limbs_fft_split_bits
        test(&[0; 49], &[0; 64], &[10; 113], &[0; 113]);
        // t[limbs] == Limb::MAX in limbs_fft_normmod_2expp1
        // cy == 0 && cz != 0 in limbs_fft_mulmod_2expp1_basecase_same
        test(
            &[0; 49],
            &[
                0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
                0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
                0, 0, 0, 0, 0, 0, 0, 1,
            ],
            &[10; 113],
            &[0; 113],
        );
        // shift_bits == 0 second time in limbs_fft_combine_bits
        test_big(&[10; 8284], &[10; 23341]);
        // x == 0 in limbs_fft_adjust
        test_big(&[10; 17027], &[10; 15816]);
        // trunc <= n << 1 in limbs_mul_truncate_sqrt2
        test_big(&[10; 32127], &[10; 32870]);
        // 50 cutoff: depth < 12 in limbs_fft_mulmod_2expp1
        test_big(&[10; 178940], &[10; 21015]);
    }
}

fn verify_limbs_square_to_out_fft(out_before: &[Limb], xs: &[Limb], out_after: &[Limb]) {
    let n = Natural::from_limbs_asc(xs).square();
    let mut ns = n.into_limbs_asc();
    let len = xs.len() << 1;
    ns.resize(len, 0);
    assert_eq!(ns, &out_after[..len]);
    assert_eq!(&out_after[len..], &out_before[len..]);
}

#[test]
fn test_limbs_square_to_out_fftzzz() {
    #[cfg(not(feature = "32_bit_limbs"))]
    let test = |xs: &[Limb], out_before: &[Limb], out_after: &[Limb]| {
        let mut out = out_before.to_vec();
        let mut scratch = vec![0; limbs_square_to_out_fft_scratch_len(xs.len())];
        limbs_square_to_out_fft(&mut out, xs, &mut scratch);
        assert_eq!(out, out_after);
        let mut out = out_before.to_vec();
        let mut scratch = vec![0; limbs_square_to_out_fft_with_cutoff_scratch_len(xs.len(), 50)];
        limbs_square_to_out_fft_with_cutoff(&mut out, xs, 50, &mut scratch);
        assert_eq!(out, out_after);

        verify_limbs_square_to_out_fft(out_before, xs, out_after);
    };
    let test_big = |xs: &[Limb]| {
        let mut out = vec![0; xs.len() << 1];
        let out_before = out.clone();
        let mut scratch = vec![0; limbs_square_to_out_fft_scratch_len(xs.len())];
        limbs_square_to_out_fft(&mut out, xs, &mut scratch);
        let out_after = out;
        let mut out = out_before.clone();
        let mut scratch = vec![0; limbs_square_to_out_fft_with_cutoff_scratch_len(xs.len(), 50)];
        limbs_square_to_out_fft_with_cutoff(&mut out, xs, 50, &mut scratch);
        assert_eq!(out, out_after);

        verify_limbs_square_to_out_fft(&out_before, xs, &out);
    };
    #[cfg(not(feature = "32_bit_limbs"))]
    {
        // depth < 11
        // depth < 6
        // w > wadj
        // (j1 << 1) - 1 <= n << 2 || w <= wadj
        // (j1 << 1) - 1 > n << 2 && w > wadj
        // trunc > n << 1 in limbs_mul_truncate_sqrt2_same
        // cy == 0 in limbs_fft_mulmod_2expp1_basecase_same2
        // cy == 0 && cz == 0 in limbs_fft_mulmod_2expp1_basecase_same2
        // k == 0 in limbs_fft_mulmod_2expp1_internal_same2
        test(
            &[
                0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
                1,
            ],
            &[10; 58],
            &[
                0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
                0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
                1, 0,
            ],
        );
        // w == 1
        test_big(&[10; 100]);
        // w != 1
        // depth >= 6
        test_big(&[10; 1000]);
        // depth >= 11
        // (j1 << 1) - 1 > 3 * n
        // trunc > n << 1 in limbs_mul_mfa_truncate_sqrt2_same
        // s < trunc in limbs_fft_inner1_worker_same
        // c.even() && c & 2 == 0 in limbs_fft_mulmod_2expp1_same
        // limbs <= FFT_MULMOD_2EXPP1_CUTOFF in limbs_fft_mulmod_2expp1_same
        // s >= trunc in limbs_fft_inner1_worker_same
        // i < n2 in limbs_fft_inner2_worker_same
        // i >= n2 in limbs_fft_inner2_worker_same
        // 50 cutoff: limbs > cutoff in limbs_fft_mulmod_2expp1_same
        // 50 cutoff: depth >= 12 in limbs_fft_mulmod_2expp1_same
        // 50 cutoff: r[j] == 0 && SignedLimb::wrapping_from(xss[j][limbs]) < 0 first time
        //      in limbs_fft_mulmod_2expp1_helper_same
        // 50 cutoff: r[j] == 0 && SignedLimb::wrapping_from(xss[j][limbs]) >= 0
        //      in limbs_fft_mulmod_2expp1_helper_same
        // 50 cutoff: r[j] != 0 && SignedLimb::wrapping_from(xss[j][limbs]) >= 0
        //      in limbs_fft_mulmod_2expp1_helper_same
        // 50 cutoff: limb_add != 0 in limbs_fft_mulmod_2expp1_helper_same
        // 50 cutoff: r[j] == 0 && SignedLimb::wrapping_from(xss[j][limbs]) < 0 second time
        //      in limbs_fft_mulmod_2expp1_helper_same
        test_big(&[10; 100000]);
        // (j1 << 1) - 1 <= 3 * n
        test_big(&[10; 38424]);
        test_big(&[10; 5354]);
        let xs = rle_decode(&[
            (0, 9249),
            (18410715276690587648, 1),
            (u64::MAX, 11159),
            (134217727, 1),
            (0, 2780),
            (18446726481523507200, 1),
            (u64::MAX, 1972),
            (8796093022207, 1),
            (0, 2972),
            (18446742974197923840, 1),
            (u64::MAX, 1456),
            (255, 1),
            (0, 1446),
            (16140901064495857664, 1),
            (u64::MAX, 534),
            (2047, 1),
            (0, 4901),
            (18446603336221196288, 1),
            (u64::MAX, 1262),
            (2251799813685247, 1),
            (0, 802),
            (18446726481523507200, 1),
            (u64::MAX, 131),
            (137438953471, 1),
            (0, 1394),
            (18446744073709551614, 1),
            (u64::MAX, 3007),
            (8589934591, 1),
            (0, 960),
            (18446726481523507200, 1),
            (u64::MAX, 2902),
            (288230376151711743, 1),
            (0, 7719),
        ]);
        test_big(&xs);
    }
    #[cfg(feature = "32_bit_limbs")]
    {
        // w <= wadj
        test_big(&[10; 25186]);
        // trunc <= n << 1 in limbs_mul_truncate_sqrt2_same
        test_big(&[10; 32562]);
        // depth < 12 in limbs_fft_mulmod_2expp1_same
        test_big(&[10; 103030]);
    }
}

#[test]
fn limbs_mul_greater_to_out_fft_properties() {
    let mut config = GenConfig::new();
    config.insert("mean_length_n", 32768);
    config.insert("mean_stripe_n", 4096 << Limb::LOG_WIDTH);
    unsigned_vec_triple_gen_var_60().test_properties_with_config(
        &config,
        |(out_before, xs, ys)| {
            let mut out = out_before.to_vec();
            let mut scratch = vec![0; limbs_mul_greater_to_out_fft_scratch_len(xs.len(), ys.len())];
            limbs_mul_greater_to_out_fft(&mut out, &xs, &ys, &mut scratch);
            verify_limbs_mul_greater_to_out_fft(&out_before, &xs, &ys, &out);
            let out_after = out;
            let mut out = out_before.to_vec();
            let mut scratch =
                vec![
                    0;
                    limbs_mul_greater_to_out_fft_with_cutoff_scratch_len(xs.len(), ys.len(), 50)
                ];
            limbs_mul_greater_to_out_fft_with_cutoff(&mut out, &xs, &ys, 50, &mut scratch);
            assert_eq!(out, out_after);
        },
    );
}

#[test]
fn limbs_square_to_out_fft_properties() {
    let mut config = GenConfig::new();
    config.insert("mean_length_n", 32768);
    config.insert("mean_stripe_n", 4096 << Limb::LOG_WIDTH);
    unsigned_vec_pair_gen_var_33().test_properties_with_config(&config, |(out_before, xs)| {
        let mut out = out_before.to_vec();
        let mut scratch = vec![0; limbs_square_to_out_fft_scratch_len(xs.len())];
        limbs_square_to_out_fft(&mut out, &xs, &mut scratch);
        verify_limbs_square_to_out_fft(&out_before, &xs, &out);
        let out_after = out;
        let mut out = out_before.to_vec();
        let mut scratch = vec![0; limbs_square_to_out_fft_with_cutoff_scratch_len(xs.len(), 50)];
        limbs_square_to_out_fft_with_cutoff(&mut out, &xs, 50, &mut scratch);
        assert_eq!(out, out_after);
    });
}

#[test]
fn limbs_mul_low_same_length_properties() {
    let mut config = GenConfig::new();
    config.insert("mean_length_n", 512);
    config.insert("mean_stripe_n", 256 << Limb::LOG_WIDTH);
    unsigned_vec_triple_gen_var_1().test_properties_with_config(&config, |(out_before, xs, ys)| {
        let mut out = out_before.to_vec();
        limbs_mul_low_same_length(&mut out, &xs, &ys);
        verify_mul_low_1(&out_before, &xs, &ys, &out);
    });
}

#[test]
fn test_mul() {
    let test = |s, t, out| {
        let u = Natural::from_str(s).unwrap();
        let v = Natural::from_str(t).unwrap();

        let mut n = u.clone();
        n *= v.clone();
        assert_eq!(n.to_string(), out);
        assert!(n.is_valid());

        let mut n = u.clone();
        n *= &v;
        assert_eq!(n.to_string(), out);
        assert!(n.is_valid());

        let n = u.clone() * v.clone();
        assert_eq!(n.to_string(), out);
        assert!(n.is_valid());

        let n = &u * v.clone();
        assert_eq!(n.to_string(), out);
        assert!(n.is_valid());

        let n = u.clone() * &v;
        assert_eq!(n.to_string(), out);
        assert!(n.is_valid());

        let n = &u * &v;
        assert_eq!(n.to_string(), out);
        assert!(n.is_valid());

        let n = BigUint::from_str(s).unwrap() * BigUint::from_str(t).unwrap();
        assert_eq!(n.to_string(), out);

        let n = rug::Integer::from_str(s).unwrap() * rug::Integer::from_str(t).unwrap();
        assert_eq!(n.to_string(), out);
    };
    test("0", "0", "0");
    test("0", "123", "0");
    test("123", "0", "0");
    test("1", "123", "123");
    test("123", "1", "123");
    test("123", "456", "56088");
    test("0", "1000000000000", "0");
    test("1000000000000", "0", "0");
    test("1", "1000000000000", "1000000000000");
    test("1000000000000", "1", "1000000000000");
    test("1000000000000", "123", "123000000000000");
    test("123", "1000000000000", "123000000000000");
    test("123456789000", "987654321000", "121932631112635269000000");
    test("4294967295", "2", "8589934590");
    test("18446744073709551615", "2", "36893488147419103230");
    test("4294967295", "4294967295", "18446744065119617025");
    test(
        "147502279655636565600250358452694051893980186696958535174009956523855720107322638159749368\
        0808217479494744305876890972595771484769733857514529616096199394092858302265998260483416016\
        5763904522044264005938281072568140883513713255548643044250086110483617215935636533809248102\
        6926590789142079805638445494760177551776636747830014495012489743990407355232286842071418922\
        9921358409573480901624487977319782755422730834468673438076805532952821406024399006814390166\
        6949827530796971086011267864607814906313334525518102221919643040440267323688341889035864376\
        1377246644579088153222669672271414315240318439843720039808993886410874969340996645010795670\
        2133518716987668865936529827437388042190084309005369564717390726257594902619365180097509576\
        6240189037770619308206906414128686856349950952623970023039440323701643457411485666776354448\
        186307133288106956593939073729500658176632828099789",
        "577397114388109712462006371470162814529304445639807296878809567953200969820156259914159240\
        9106139481288193067515284601342023565222679498917484131095648263181800618990427694244342686\
        4412105186059052689237237088193855584354278755933606296018800151986520872701706693002473648\
        4330061421236425747083307907706860804054565348593527605104495080560663025897787060638154303\
        7631781316565710346299551930891169154491973589315700505458672804104869879731391323700304",
        "851673906388325341550957943071111911557800036845129556099360938813259608650267079456739978\
        1156959952275409185911771336067392377245918291754269000751186715279414560474882570499082990\
        4913122978897463970860833616251189242098804876664368441608727895141238953179204529256780277\
        5978105200286025161944212712977056343127682601975191673217459602567633602198262568921008081\
        9448556670912575287371251190800855926311768876808375177446530243635212748346921654224589861\
        0625170426812525829689862407515510419445335472631905610235915226032848323874067128872385291\
        3730739275467227364692195226129501338887049710586931141309357190341064532366013123280106098\
        6468151628797945455179649866890394481799639832540978091736379482964522229064478167730317490\
        8194108506704480750395054067032502530392147690725919399930683143510771646869931527123340650\
        0547649792331568913460415939722111305270588701531404490040034302102101083691706550376288655\
        2667382899390792494118931379237432071316543313379792218794371176529684614085109418328963817\
        0601432767270419229719490809539776535671938041618536196941370647945336401901450921413823163\
        4059991707077834107830876756821880651429748186401020760113859498185638133726165286481741014\
        9079906337286599226335508424466369316294442004040440528589582239717042654541745348050157252\
        3448224036804997350851153108395928780441635856",
    );
}

#[test]
fn limbs_product_properties() {
    let mut config = GenConfig::new();
    config.insert("mean_length_n", 64);
    config.insert("mean_stripe_n", 16);
    unsigned_vec_gen_var_6().test_properties_with_config(&config, |mut xs| {
        let xs_old = xs.clone();
        let mut out = vec![0; xs.len()];
        let out_len = limbs_product(&mut out, &mut xs);
        out.truncate(out_len);
        let xs = xs_old;
        let mut out_alt = vec![0; xs.len()];
        let out_len = limbs_product_naive(&mut out_alt, &xs);
        out_alt.truncate(out_len);
        assert_eq!(
            Natural::from_owned_limbs_asc(out),
            Natural::from_owned_limbs_asc(out_alt)
        );
    });
}

#[test]
fn mul_properties() {
    let mut config = GenConfig::new();
    config.insert("mean_bits_n", 2048);
    config.insert("mean_stripe_n", 16 << Limb::LOG_WIDTH);
    natural_pair_gen().test_properties_with_config(&config, |(x, y)| {
        let product_val_val = x.clone() * y.clone();
        let product_val_ref = x.clone() * &y;
        let product_ref_val = &x * y.clone();
        let product = &x * &y;
        assert!(product_val_val.is_valid());
        assert!(product_val_ref.is_valid());
        assert!(product_ref_val.is_valid());
        assert!(product.is_valid());
        assert_eq!(product_val_val, product);
        assert_eq!(product_val_ref, product);
        assert_eq!(product_ref_val, product);

        let mut mut_x = x.clone();
        mut_x *= y.clone();
        assert!(mut_x.is_valid());
        assert_eq!(mut_x, product);

        let mut mut_x = x.clone();
        mut_x *= &y;
        assert_eq!(mut_x, product);
        assert!(mut_x.is_valid());

        assert_eq!(
            Natural::from(&(BigUint::from(&x) * BigUint::from(&y))),
            product
        );
        assert_eq!(
            Natural::exact_from(&(rug::Integer::from(&x) * rug::Integer::from(&y))),
            product
        );
        assert_eq!(&y * &x, product);
        if x != 0 {
            let (q, r) = (&product).div_mod(&x);
            assert_eq!(q, y);
            assert_eq!(r, 0);
        }
        if y != 0 {
            let (q, r) = (&product).div_mod(&y);
            assert_eq!(q, x);
            assert_eq!(r, 0);
        }
        if x != 0 && y != 0 {
            assert!(product >= x);
            assert!(product >= y);
        }
    });

    unsigned_pair_gen_var_27::<Limb>().test_properties(|(x, y)| {
        assert_eq!(
            Natural::from(DoubleLimb::from(x) * DoubleLimb::from(y)),
            Natural::from(x) * Natural::from(y)
        );
    });

    natural_gen().test_properties(|ref x| {
        assert_eq!(x * Natural::ZERO, 0);
        assert_eq!(Natural::ZERO * x, 0);
        assert_eq!(x * Natural::ONE, *x);
        assert_eq!(Natural::ONE * x, *x);
        assert_eq!(x * x, x.square());
    });

    natural_triple_gen().test_properties(|(ref x, ref y, ref z)| {
        assert_eq!((x * y) * z, x * (y * z));
        assert_eq!(x * (y + z), x * y + x * z);
        assert_eq!((x + y) * z, x * z + y * z);
    });
}

#[test]
fn product_properties() {
    natural_vec_gen().test_properties(|xs| {
        let product = Natural::product(xs.iter().cloned());
        assert!(product.is_valid());

        let product_alt = Natural::product(xs.iter());
        assert!(product_alt.is_valid());
        assert_eq!(product_alt, product);

        let product_alt = natural_product_naive(xs.into_iter());
        assert!(product_alt.is_valid());
        assert_eq!(product_alt, product);
    });

    natural_gen().test_properties(|x| {
        assert_eq!(Natural::product(once(&x)), x);
        assert_eq!(Natural::product(once(x.clone())), x);
    });

    natural_pair_gen().test_properties(|(x, y)| {
        let product = &x * &y;
        assert_eq!(Natural::product([&x, &y].into_iter()), product);
        assert_eq!(Natural::product([x, y].into_iter()), product);
    });
}